Academic literature on the topic 'Darcy's permeability'
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Journal articles on the topic "Darcy's permeability"
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Patiño, I. D., J. D. Vanegas, and C. E. Correa. "State of the Art on Permeability Characterization of Fibrous Reinforcements used in Resin Transfer Molding Process." Advanced Composites Letters 20, no. 6 (2011): 096369351102000. http://dx.doi.org/10.1177/096369351102000604.
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The physical and mathematical fundamentals that are required for the measurement of permeability of fibrous reinforcement used in Resin Transfer Molding (RTM) and to interpret correctly the results of those experiments are considered in this article. The basic concepts of fluid dynamics through porous media applied to the analysis of the impregnation phenomena in fibre preforms are discussed. The principal assumptions to simplify the governing equations into the Darcy's law are summarized in order to give an idea of some typical features of the permeability tests regarding the injection parameters and types of fluids and preforms used. Three important concepts for determining permeability in any direction for anisotropic preforms are introduced: permeability tensor ( Kij), permeability ellipse and effective permeability ( Keff). This paper also deals with the deduction, from Darcy's law and Laplace Equation, of the basic equations used on the unidirectional and divergent radial permeability tests. The final conclusion remarks the importance of the concepts exposed in this work.
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Payne, L. E., J. F. Rodrigues, and B. Straughan. "Effect of anisotropic permeability on Darcy's law." Mathematical Methods in the Applied Sciences 24, no. 6 (2001): 427–38. http://dx.doi.org/10.1002/mma.228.
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Yang, Bin, Tianhong Yang, Zenghe Xu, Honglei Liu, Wenhao Shi, and Xin Yang. "Numerical simulation of the free surface and water inflow of a slope, considering the nonlinear flow properties of gravel layers: a case study." Royal Society Open Science 5, no. 2 (2018): 172109. http://dx.doi.org/10.1098/rsos.172109.
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Groundwater is an important factor of slope stability, and 90% of slope failures are related to the influence of groundwater. In the past, free surface calculations and the prediction of water inflow were based on Darcy's law. However, Darcy's law for steady fluid flow is a special case of non-Darcy flow, and many types of non-Darcy flows occur in practical engineering applications. In this paper, based on the experimental results of laboratory water seepage tests, the seepage state of each soil layer in the open-pit slope of the Yanshan Iron Mine, China, were determined, and the seepage parameters were obtained. The seepage behaviour in the silt layer, fine sand layer, silty clay layer and gravelly clay layer followed the traditional Darcy law, while the gravel layers showed clear nonlinear characteristics. The permeability increases exponentially and the non-Darcy coefficient decreases exponentially with an increase in porosity, and the relation among the permeability, the porosity and the non-Darcy coefficient is investigated. A coupled mathematical model is established for two flow fields, on the basis of Darcy flow in the low-permeability layers and Forchheimer flow in the high-permeability layers. In addition, the effect of the seepage in the slope on the transition from Darcy flow to Forchheimer flow was considered. Then, a numerical simulation was conducted by using finite-element software (FELAC 2.2). The results indicate that the free surface calculated by the Darcy–Forchheimer model is in good agreement with the in situ measurements; however, there is an evident deviation of the simulation results from the measured data when the Darcy model is used. Through a parameter sensitivity analysis of the gravel layers, it can be found that the height of the overflow point and the water inflow calculated by the Darcy–Forchheimer model are consistently less than those of the Darcy model, and the discrepancy between these two models increases as the permeability increases. The necessity of adopting the Darcy–Forchheimer model was explained. The Darcy–Forchheimer model would be applicable in slope engineering applications with highly permeable rock.
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Jiang, Shuai, Zheng Ming Yang, Xue Wei Liu, Meng Ting Wang, and Qian Zhang. "Study on the Nonlinear Flow Percolation Law in Low Permeability Carbonate Reservoir of HF Oilfield." Applied Mechanics and Materials 644-650 (September 2014): 5065–70. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.5065.
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With the development of the global oil industry,the production of the normal or high permeability reservoirs decline rapidly. Therefore, more and more low permeability reservoirs are used to the production stimulation. The oilfields overseas make great contribution to CNPC. The HF oilfield is one oilfield that the CNPC have in overseas. The HF oilfield is mainly the low permeability carbonate reservoirs which make it not easy to economically exploit. Due to the reason that the low permeability carbonate reservoirs present small porosity and the fluid’s flow situation in the low permeability carbonate reservoirs, the flow doesn't obey the Darcy's law. Thus it is greatly necessary to study the non-Darcy percolation characteristics. In this paper, the HF ‘s low permeability is tested and the threshold pressure gradient test is finished ,according to the experiment results, the nonlinear percolation ‘s law ,which is suited to HF-oil field , is illustrated and the reservoir classification is achieved.
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Yan, Shi Lin, Hang Lu, Hua Tan, and Zhong Qi Qiu. "Microscopic Analysis of Flow and Prediction of Effective Permeability for Dual-Scale Porous Fiber Fabrics." Advanced Materials Research 97-101 (March 2010): 1776–81. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.1776.
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In this paper, the permeability of fiber fabric used in liquid composite molding (LCM) is predicted by the method of numerical simulation. The three-dimensional finite element model of unit cell representing the periodic micro-structure of a plaid is established. In the process of numerical simulation, each fiber bundle in unit cell is treated as a porous medium. Stokes equation and Darcy's law are employed to model the saturated flow between the fiber bundles and the saturated flow in the fiber bundle, respectively. Steady state flow of the finite element model of unit cell is simulated. The effective permeability of the plaid is obtained from the postprocessing of the simulation results by using Darcy's law.
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Li, Huakang, Hongbo Liao, Qilin Yang, Kun Liu, and Dan Huang. "A Method for In-Situ Permeability Testing of Loose Porous Media Based on Vacuum Extraction." Advances in Engineering Technology Research 4, no. 1 (2023): 154. http://dx.doi.org/10.56028/aetr.4.1.154.2023.
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The permeability of loosely porous media is difficult to test. A vacuum extraction based in-situ permeability test for loose porous media has been proposed. The calculation follows from the typical Darcy's law. A mathematical computational model of in situ permeability testing based on pressure decay curves has been developed. The effect of the depth of the return packing on the permeability test is analysed and the permeability of the porous media is obtained to verify the validity of the calculated method.
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Xin, Xian Kang, Gao Ming Yu, and Zhuo Li. "Study on Application of Low Velocity Non-Darcy Flow." Advanced Materials Research 1078 (December 2014): 129–33. http://dx.doi.org/10.4028/www.scientific.net/amr.1078.129.
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The seepage underground is rather complicated in the low permeability reservoir and the heavy oil reservoir. One important point to note is that the seepage in these reservoirs does not follow Darcy's law, which brings difficulty to the development of oil field. Study on low velocity non-Darcy percolation theory, the impact on oil production index is analyzed. The key is the summary of the application in order to provide theoretical references for the rational exploitation of the relevant oil fields.
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Wang, HanYi, and Matteo Marongiu-Porcu. "Impact of Shale-Gas Apparent Permeability on Production: Combined Effects of Non-Darcy Flow/Gas Slippage, Desorption, and Geomechanics." SPE Reservoir Evaluation & Engineering 18, no. 04 (2015): 495–507. http://dx.doi.org/10.2118/173196-pa.
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Summary Permeability is one of the most fundamental reservoir-rock properties required for modeling hydrocarbon production. Many shale-gas and ultralow-permeability tight gas reservoirs can have matrix-permeability values in the range of tens to hundreds of nanodarcies. The ultrafine pore structure of these rocks can cause violation of the basic assumptions behind Darcy's law. Depending on a combination of pressure-temperature conditions, pore structure and gas properties, non-Darcy flow mechanisms such as Knudsen diffusion, and/or gas-slippage effects will affect the matrix apparent permeability. Even though numerous theoretical and empirical models were proposed to describe the increasing apparent permeability caused by non-Darcy flow/gas-slippage behavior in nanopore space, few literature sources have investigated the impact of formation compaction and the release of the adsorption gas layer upon shale-matrix apparent permeability during reservoir depletion. In this article, we first present a thorough review on gas flow in shale nanopore space and discuss the factors that can affect shale-matrix apparent permeability, besides the well-studied non-Darcy flow/gas-slippage behavior. Then, a unified shale-matrix apparent-permeability model is proposed to bridge the effects of non-Darcy flow/gas-slippage, geomechanics (formation compaction), and the release of the adsorption gas layer into a single, coherent equation. In addition, a mathematical framework for an unconventional reservoir simulator that was developed for this study is also presented. Different matrix apparent-permeability models are implemented in our numerical simulator to examine how the various factors affect matrix apparent permeability within the simulated reservoir volume. Finally, the impact of a natural-fracture network on matrix apparent-permeability evolution is investigated. The results indicate that, even though the conductive fracture network plays a vital role in shale-gas production, the matrix apparent-permeability evolution during pressure depletion cannot be neglected for accurate production modeling.
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Karmakar, Timir, Meraj Alam, and G. P. Raja Sekhar. "Analysis of Brinkman-Forchheimer extended Darcy's model in a fluid saturated anisotropic porous channel." Communications on Pure & Applied Analysis 21, no. 3 (2022): 845. http://dx.doi.org/10.3934/cpaa.2022001.
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<p style='text-indent:20px;'>We present asymptotic analysis of Couette flow through a channel packed with porous medium. We assume that the porous medium is anisotropic and the permeability varies along all the directions so that it appears as a positive semidefinite matrix in the momentum equation. We developed existence and uniqueness results corresponding to the anisotropic Brinkman-Forchheimer extended Darcy's equation in case of fully developed flow using the Browder-Minty theorem. Complemented with the existence and uniqueness analysis, we present an asymptotic solution by taking Darcy number as the perturbed parameter. For a high Darcy number, the corresponding problem is dealt with regular perturbation expansion. For low Darcy number, the problem of interest is a singular perturbation. We use matched asymptotic expansion to treat this case. More generally, we obtained an approximate solution for the nonlinear problem, which is uniformly valid irrespective of the porous medium parameter values. The analysis presented serves a dual purpose by providing the existence and uniqueness of the anisotropic nonlinear Brinkman-Forchheimer extended Darcy's equation and provide an approximate solution that shows good agreement with the numerical solution.</p>
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NGUYEN, H., B. CHOPARD, and S. STOLL. "HYDRODYNAMIC PROPERTIES AND PERMEABILITY OF FRACTAL OBJECTS." International Journal of Modern Physics C 18, no. 04 (2007): 732–38. http://dx.doi.org/10.1142/s0129183107010991.
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Using Lattice Boltzmann numerical simulations, we analyse the hydrodynamic properties of both fractal aggregates and artificial fractal objects. First we show that the hydrodynamic radius actually depends on three quantities: the fractal dimension, the so-called prefactor and the inside connectivity. Second, from the simulated velocity field inside the aggregate, we observe that Darcy's law describes the flow better than Brinkman equation. Finally we measure the permeability - porosity relation and observed that it departs from the prediction of Happel's model.
Dissertations / Theses on the topic "Darcy's permeability"
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Hood, Jonathan Patrick. "Changes in Oriented Strandboard Permeability During Hot-Pressing." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/10049.
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Convective heat transfer during hot pressing in wood-based composite panel manufacturing is widely accepted as the most important means of heat transport for resin curing. The rate of convective heat transfer to the panel core is controlled by its permeability. Permeability in the plane of the panel also controls the flow of vapor to the panel edges, thereby influencing the potential for panel "blowing".
This research considers how flake thickness, flake alignment and changing mat density during hot-pressing influences OSB mat permeability, through its thickness and in the plane of the panel. Some previous research exists but it fails to address the affects of horizontal and vertical density gradients as well as flake alignment.
An apparatus was designed to allow cold pressing of aligned flakes to desired densities while enabling permeability measurements through the mat thickness. An additional apparatus was designed to allow the measuring of permeability in the plane of the mat. These designs permitted permeability measurements in mats that had no vertical density gradient, allowing for the direct study of permeability versus density (compaction ratio).
Superficial permeability was determined using Darcy's law and for each sample, multiple readings were made at five different pressure differentials. Permeability through the mat thickness was highly dependent on compaction ratio and to a lesser extent flake thickness. As the compaction ratio is increased, the initial reduction in permeability is severe, once higher compaction ratios are achieved the reduction in permeability is less pronounced. Permeability decreased with decreasing flake thickness. Permeability in the plane of the mat decreases with increasing compaction ratio but in a less severe manner than through the mat thickness. In this case, the permeability-compaction ratio relationship appears linear in nature. Again, permeability decreases with decreasing flake thickness.<br>Master of Science
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Tangpithakkul, Rawee. "Study of permeability of pavement base materials." Ohio University / OhioLINK, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1184344573.
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Hendrick, Angus Greer. "Effects of domain size on transverse permeability through random arrays of cylinders." Thesis, The University of Arizona, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3592730.
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<p> Researchers using Darcy's law to model flow in porous media must satisfy the requirement for sufficient scale separation between the pore scale and the model scale. This requirement is analogous to that for any continuum model, where application is restricted to scales larger than the underlying discrete structure. In the case of Darcy's law when the model scale becomes too small, the measurement of the permeability—the material property required to close the relationship—becomes polluted by the boundary conditions, either physical or numerical. The requirements for adequate scale separation to obtain permeability measurements (also known as satisfying the conditions for a <i>representative elementary volume, </i> or REV, for permeability) have not been previously reported. Likewise, the behavior of Darcy models when applied at sub-REV length scales has not been reported.</p><p> Here, the results of Stokes simulations of transverse flow in 90,000 sequential random packings of monodisperse cylinders at a variety of liquid fractions and averaging-volume sizes show that approximately 200 cylinders must be present in an averaging volume before the effects of periodic boundary conditions on the Stokes simulations (the conventional choice for permeability measurements using Stokes flow) are no longer evident in the measured permeability. Direct comparisons between flow predictions from a two-dimensional, tensor-based Darcy model and a Stokes model for additional 10,000 domains show that the Darcy model is an unbiased predictor of the flow distribution in the system, even when the permeability is expected to contain boundary-condition artifacts. Though unbiased, the Darcy models do show considerable reduction in accuracy as the model scale shrinks toward the pore scale, with significant declines observed after the side length of a square averaging volume reaches 10 times the cylinder diameter. Finally, a novel approach for visualizing flows using the linear properties of the Stokes equations shows how the periodic boundary conditions affect the flow, and motivates the development of a generalized approach for obtaining permeability that does not require periodic boundary conditions. Modest improvements in the Darcy model relative to the actual Stokes flow result when the new approach is used to obtain permeability at small averaging volumes.</p>
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Erdmann, Robert Gerald. "Image-Based Numerical Simulation of Stokes Flow in Porous Media." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195724.
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Numerical models for the simulation of longitudinal and transverse Stokes flow in cylindrical periodic porous media are presented. The models, which are based on a finite-volume formulation in primitive variables, utilize digital image representations of the geometries to simulate, making them particularly well-suited for the rapid automated analysis of creeping flow in porous media with complex morphologies. Complete details of the model formulations are given, including extensive treatment of the pressure boundary conditions at the solid-liquid interface needed to guarantee convergence with all possible geometries. The convergence behavior of both models is tested, and the models are shown to be second-order accurate.The models are used to simulate flow over the whole range of volume fractions of liquid in several regular geometries. The longitudinal model is used to simulate flow in square arrays of circular and square ducts, and both models are used to simulate flow in square and hexagonal arrays of circular cylinders and square arrays of square cylinders rotated by varying amounts. For each of the geometries, accurate empirical expressions for the Darcy permeability as a function of volume fraction solid are presented. Where applicable, model predictions of permeability are compared to existing analytical results.Subsequently, the models are used to simulate Stokes flow in random domains over a wide range of fractions liquid. The sequential random packing algorithm is used to generate 1,000 random packings of circular cylinders at each of 14 fractions of liquid, and longitudinal and transverse flow simulations are performed for each geometry. Histograms and summary statistics are computed for the permeability for each fraction liquid, and empirical expressions for mean permeability as a function of fraction liquid are given. The autocorrelation structure of the geometry and of the fluid velocity is analyzed, and an analysis of the scaling of longitudinal permeability variance is presented. In transverse flow at high packing densities, it is found that lightning-like patterns emerge in the fluid velocity. It is also found that the details of flows in such geometries are strongly sensitive to the placement of individual solid obstacles.
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Kumar, Prashant. "Investigation of Kelvin-like solid foams for potential engineering applications : an attractive set of geometrical and thermo-hydraulic properties." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4730/document.
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Les mousses à cellules ouvertes ont diverses applications industrielles, par exemple pour des échangeurs de chaleur, des réacteurs structurés, la filtration, la catalyse, récepteurs solaires volumétriques en raison de leurs propriétés uniques telles qu'une importante porosité et une surface spécifique élevée. Pour déterminer théoriquement la surface spécifique géométrique et les relations entre les paramètres géométriques de mousses, une corrélation mathématique généralisée a été développée. A cet effet, la géométrie de la tetrakaidecahedron a été utilisé et différentes formes de sections transversales de brins de structures en mousse ont été pris en compte de façon explicite. La corrélation dérivée pour prédire les propriétés géométriques peut facilement être étendue à des formes différentes. Des simulations numériques 3-D à l'échelle des pores ont été réalisées pour étudier la perte de charge et la conductivité effective thermique. L'écoulement du fluide à travers la mousse à cellule ouverte a été réalisé dans trois régimes différents: les régimes de Darcy, transitoire et inertiel. L'importance des propriétés géométriques sur les caractéristiques d'écoulement de fluide et leurs inclusions dans les corrélations proposées pour prédire la perte de charge est discutée. La question « Les paramètres d'Ergun peuvent-ils avoir des valeurs numériques constantes ou non ? » est discutée. Trois différentes corrélations étaient dérivées pour prédire la conductivité thermique effective à la fois isotrope et anisotrope des mousses. Les paramètres géométriques de la matrice de mousse étaient introduits dans les corrélations pour prédire la conductivité thermique effective<br>Open cell foams have diverse industrial applications e.g. heat exchangers, structured reactors, filtration due to their unique properties such as high porosity and high specific surface area. In order to theoretically determine the geometric specific surface area and relationships between geometrical parameters of isotropic open cell foams, a generalized mathematical correlation was developed. For this purpose the tetrakaidecahedron geometry was used and different shapes of strut cross-sections of foam structures were taken explicitly into account. The derived correlation to predict geometrical properties can be easily extended to different strut shapes. 3-D numerical simulations at pore scale were performed to study the pressure drop characteristics and effective thermal conductivity. Fluid flow through open cell foam was performed in three different regimes: Darcy regime, transition regime and inertia regime. Importance of geometrical properties on fluid flow characteristics and their inclusion in the proposed correlations for predicting pressure drop is discussed. "Can Ergun parameters have constant numerical values or not" is also extensively discussed. Three different correlations were derived to predict the effective thermal conductivity for both, isotropic and anisotropic open cell foams. Geometrical parameters of foam matrix were introduced in the correlations to predict effective thermal conductivity
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Hou, Yi. "Experimental characterization and modeling of the permeability of fibrous preforms using gas for direct processes application." Phd thesis, Ecole Nationale Supérieure des Mines de Saint-Etienne, 2012. http://tel.archives-ouvertes.fr/tel-00848600.
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A methodology to measure in-plane permeability of fibrous media using a transient one dimensional air flow is developed. The method, based on the measurement of gas pressure at the boundaries throughout the transient flow, is convenient, clean and fast, avoids usage of a gas flow meter and offers a way to study the gas transport within fibrous media. The gas transport through fibrous porous media is described by several models to comply with different flow regimes. The permeability, only depending on the fibrous structure, is determined by inverse method, fitting the simulation results to the experimental data obtained using rising or dropping pressure methods. The results of viscous permeability Kv of Glass/Carbon Twill Woven fabrics (viscous permeability Kv ranging from 10-11 to 10-10 m2) measured using gas match well the permeability measured with liquid compression and injection techniques from previous works. The deviation from Darcy's law caused by gas sliding effect on low permeability Carbon Uni-Directional fabrics (Kv from 10-14 to 10-12 m2) is analyzed and a related parameter of fabric material shows a dependence in permeability, with a similar trend as the Klinkenberg sliding parameter in soils and rocks.The experimental errors due to dimensions, thermal effect, pressure variation, sample handling, and trapped gas at boundaries are analyzed. It comes out that the sensitivities of pressure sensors and trapped gas volumes at the boundaries have the most important effects. A design for 2D measurement using gas to obtain 2D permeability tensor in one single test is proposed to avoid the issues of trapped gas at boundaries. Simulated experiments show that the measurements based on pressure measured at three proposed locations could provide robust and accurate results for fabrics of anisotropic permeability ratios (K1/K2) ranging from 0.1 to 10, with various principal permeability direction orientations.
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Soltani, Amir. "Caractérisation 3D de l'hétérogénéité de la perméabilité à l'échelle de l'échantillon." Thesis, Vandoeuvre-les-Nancy, INPL, 2008. http://www.theses.fr/2008INPL049N/document.
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L’objet de cette thèse est de développer des méthodologies permettant d’identifier la distribution spatiale des valeurs de perméabilité dans des échantillons de roches. Nous avons tout d’abord développé en laboratoire des expériences d’injection de fluide miscible très visqueux dans des échantillons initialement saturés par une saumure peu visqueuse. Pendant l’injection, l’évolution au cours du temps de la pression différentielle entre les deux faces de l’échantillon a été enregistrée par des capteurs de pression. En outre, des mesures scanner ont fourni une carte 3D de la porosité ainsi que des cartes 3D décrivant la distribution spatiale des concentrations dans l’échantillon à différents temps. Nous avons mis en place une méthode d’interprétation donnant directement le profil 1D de la perméabilité le long de la direction d’écoulement à partir de la pression différentielle mesurée au cours du temps. Cette méthode a été validée numériquement et expérimentalement. Puis, afin d’affiner la description de l’agencement des valeurs de perméabilité dans l’échantillon, c’est à dire d’obtenir un modèle 3D de perméabilité représentatif de l’échantillon, nous avons développé une méthodologie itérative de calage des pressions et des concentrations. Cette méthode passe par deux étapes : une optimisation simple pour capturer l’hétérogénéité dans la direction de l’écoulement et une optimisation complexe pour capturer l’hétérogénéité transverse. Cette méthode a été validée à partir de tests numériques. La méthode a été appliquée à deux des expériences d’injection de fluide visqueux. Nous avons pu alors déterminer des modèles de perméabilité capables de reproduire assez bien les données de pression et de concentration acquises pendant l’injection<br>The objective of this study is to develop new methodologies to identify the spatial distribution of permeability values inside the heterogeneous core samples. We developed laboratory viscous miscible displacements by injecting high viscosity glycerin into the core samples initially saturated by low viscosity brine. The pressure drop across the samples was measured as a function of time until breakthrough. Meanwhile, CT scan measurements provided a 3D porosity map plus several 3D maps of concentration distribution inside the core samples at different times. A simple permeability mapping technique was developed deducing a one-dimensional permeability profile along the flow direction from the measured pressure drop data. The method was validated with both numerical and laboratory experiments. To go beyond one-dimensional characterization of permeability into cores, we developed an iterative process for matching pressure and concentration data. This method consisted of two steps: a simple optimization for capturing the permeability heterogeneity along the flow direction axis and a complex optimization for capturing transversal permeability heterogeneities. The methodology was validated by numerical data. It was also applied to the data collected from two laboratory viscous miscible displacements. We showed that the final 3D permeability models reproduce well the measured pressure drop and concentration data
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Dereims, Arnaud. "simulation industrielle des procédés d’élaboration de pièces composites par infusion de résine : couplage fluide / solide poreux très faiblement perméable en grandes déformations." Thesis, Saint-Etienne, EMSE, 2013. http://www.theses.fr/2013EMSE0699/document.
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Les procédés d’élaboration de pièces composites par infusion de résine, malgré leurs nombreux avantages, peinent à s’imposer dans les phases de production industrielle en raison de difficultés pour les maitriser. Ainsi, en partenariat avec ESI Group, un modèle complet pour la simulation de ces procédés est développé à l’ENSM-SE depuis les travaux précurseurs de P. Celle.Nos travaux portent sur la généralisation de ce modèle afin de traiter des cas, ainsi que sur son extension à la simulation des écoulements « post-infusion ». L'approche repose sur un découpage du domaine en trois zones (drainant, préformes imprégnées, préformes sèches) consistant ainsi à coupler un écoulement de Stokes dans le drainant à un écoulement de Darcy dans les préformes. De plus, l'influence mutuelle de la résine sur le comportement des préformes et de la déformation des préformes sur la perméabilité est considérée, à travers la loi de Terzaghi et des lois exprimant la perméabilité en fonction de la fraction de fibres, paramètre accessible uniquement dans une approche 3D mécanique couplée. Enfin, le procédé est découpé en trois phases : compression initiale des préformes sèches, remplissage et « post-infusion ». Les méthodes numériques, développées dans ces travaux, s'appliquent à des cas réels d'infusion souvent mis de côté dans les publications récentes car inaccessibles, impliquant des perméabilités très faibles (~10-15 m²), un drainant fin (~1 mm) et des géométries complexes.Cette approche innovante a été implémentée dans un code de calcul industriel (ProFlotTM), validée analytiquement sur des cas tests et expérimentalement sur des cas industriel dans le cadre du projet européen INFUCOMP<br>Composite manufacturing processes by resin infusion, despite their many benefits, struggle to establish themselves in the industrial production phases due to difficulties to control them. So, in partnership with ESI Group, a comprehensive model for the simulation of these processes is developed at the ENSM-SE since the pioneering work of P. Celle.Our work focuses on the generalization of this model to handle complex industrial cases in three dimensions, as well as its extension to “post-infusion” flow simulation. The approach is based on three domains decomposition of the field (Distribution medium, impregnated preforms, dry preforms) consisting in coupling a Stokes flow in the distribution medium with a Darcy flow in the preforms. In addition, the mutual influence of the resin on the preforms and of the preforms deformation on the permeability is considered, through Terzaghi’s law and models expressing the permeability as a function of the fibre fraction, data only accessible with a 3D coupled mechanical approach. Finally, the process is divided into three phases: initial compression of dry preforms, filling and “post-infusion”. The numerical methods developed in this work, apply to real infusion cases often discarded in recent publications, involving very low permeability (~10-15 m²), thin distribution medium (~ 1 mm) and complex geometries (3D curved).This innovative approach has been implemented in an industrial simulation code (ProFlotTM), validated analytically over test cases and experimentally over industrial cases in the European project INFUCOMP
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Maciel, Hugo Emerich. "Avaliação de modelos de permeabilidade em meios porosos não consolidados." Universidade do Estado do Rio de Janeiro, 2015. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=9498.
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Conselho Nacional de Desenvolvimento Científico e Tecnológico<br>As simulações computacionais tem sido amplamente empregadas no estudo do escoamento darciano e não-darciano em meios porosos consolidados e não-consolidados. Neste trabalho, através de uma nova formulação para a equação de Forchheimer, foram identificadas duas novas propriedades denominados fator de comportamento do fluido, que atua paralelamente a permeabilidade, e permeabilidade equivalente global, resultado da relação anterior. Este comportamento foi estudado e validado através da implementação de um aparato experimental e um código computacional baseado no modelo de regressão-linear que, além disso, demonstrou que o escoamento, ainda que em regime não darciano, comporta-se linearmente como a equação de Darcy, ainda que o coeficiente angular desta diminuiu de acordo com a faixa do número de Reynolds atingida, sendo esta dependente do tipo de leito empregado. Ainda neste trabalho, foi implementado o método de otimização R2W para estimar os parâmetros da equação de Kozeny-Carman a partir de dados experimentais obtidos por Dias et al, a fim de simular o escoamento darciano em meios porosos. Por fim, foi alcançada excelente concordância entre os dados simulados pelo método R2W / equação de Kozeny-Carman e os dados reais.<br>Computer simulations have been widely used in the study of Darcys flow and non-Darcy porous media in consolidated and non-consolidated. In this work, through a new formulation for the Forchheimer equation, we have been identified two new called Fluid Factor Behavior properties, which acts parallel to permeability, and overall equivalent permeability result of the previous relationship. This behavior has been studied and validated through implementation of an experimental apparatus and a computer code based on the linear regression model, moreover, it demonstrated that flow, even in non darciano system behaves linearly as the Darcy, however, the slope of this decreased according to the range of Reynolds numbers reached, this being dependent on the type of bed used. Although this work was implemented R2W optimization method to estimate the parameters of Kozeny-Carman equation from experimental data provided in the literature in order to simulate the darciano flow in porous media. Finally, it achieved excellent agreement between the data simulated by R2W method / Kozeny-Carman equation and actual data.
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Kaushik, Swati. "Mécanisme de filtration des suspensions de microgel." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0019/document.
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Les écoulements de suspensions dans des milieux poreux sont particulièrement complexes, notamment à cause du couplage d’écoulements de cisaillement et d’écoulements élongationnels (Herzig, Leclerc et Goff, 1970). On les retrouve fréquemment dans les applications industrielles, l’une des applications principales se trouvant lors des opérations de production de pétrole et de gaz. Lors de la construction d'un puits, des additifs polymères anti perte de fluide empêchent à plusieurs étapes l'écoulement de fluide entre le puits et la formation de roche poreuse environnante. La perte de fluide est un problème grave si elle n’est pas maîtrisée ; elle s’ajoute alors au coût total des opérations et pourrait surtout avoir des conséquences néfastes pour l’environnement et les opérateurs. Parmi les technologies disponibles, des additifs polymères connus sous le nom d'additifs anti perte de fluide, tels que des microgels et des particules de latex, sont ajoutés aux fluides injectés pour limiter les pertes de fluide (généralement de l'eau) via un mécanisme de colmatage / blocage de pores du support poreux.Le comportement de blocage de beaucoup de ces additifs anti perte de fluide a été testé par des méthodes conventionnelles qui impliquent l'application d'une différence de pression élevée (typiquement 35-70 bars) sur le fluide formulé comprenant les additifs contre un filtre représentatif de la taille typique des pores de la formation (une grille métallique, de la céramique ou du papier filtre) et la mesure du volume de filtrat en fonction du temps. Cependant, ces méthodes standard ne permettent pas de comprendre le mécanisme sous-jacent de la dynamique de blocage des supports poreux. Par conséquent, une meilleure compréhension du mécanisme de blocage d’un support poreux par des additifs industriels anti perte de fluide est nécessaire.Dans ce travail, nous utilisons des suspensions de microgels réticulés chimiquement comme additifs anti perte de fluide et nous étudions leur comportement de blocage dans des milieux poreux modèles transparents. Nous utilisons des dispositifs à base de polydiméthylsiloxane (PDMS) comme modèle de support poreux permettant l'observation directe du processus de blocage couplée à des mesures quantitatives. Nous fabriquons des dispositifs microfluidiques de filtration frontale et de filtration latérale avec différentes tailles de pores afin de déterminer comment des paramètres tels que la mouillabilité de la surface, la concentration en particules, la taille des particules et le débit affectent la formation du gâteau de filtration.Nous présentons une méthode de contrôle de la taille des particules constituant les suspensions de microgels. Nous décrivons ensuite une approche pour préparer des suspensions à plus haute concentration et étudions la rhéologie des suspensions en fonction de la concentration en particules. De plus, nous présentons un procédé simple pour former un gâteau de filtration à partir de la suspension de microgels sur une membrane et estimons la perméabilité à l’eau du gâteau de filtration formé selon la loi de Darcy<br>The flow of suspensions in porous media is a complex phenomenon due to the mechanisms involved such as both shear and extensional flows (Herzig, Leclerc, & Goff, 1970). Their use in industrial applications is quite extensive with one of the major applications being at various stages of oil and gas production operations. At several stages of a well construction, flow of fluid between the well and the surrounding porous rock formation is prevented thanks to the polymeric fluid loss control additives. Fluid loss is a severe problem if not controlled, which would add up to the total cost of operations and more importantly could have hazardous impacts on the environment or operators. Among several technologies industrially available, polymeric additives popularly known as fluid loss additives such as microgels and latex particles are added to the injected fluids to limit the loss of fluid (usually water) via the mechanism of pore clogging/jamming in porous media.Many of these fluid loss additives have been tested for their jamming behaviour by conventional methods which involve the application of a high pressure difference (typically 35-70 bars) on the formulated fluid comprising of the additives against a filter representative of the formation’s typical pore size (either a metallic grid, ceramic or filter paper) and the measurement of the filtrate volume versus time. However, these standard methods do not give any insight in understanding the underlying mechanism of jamming dynamics in porous media, hence, a better understanding of the mechanism of jamming in porous media by industrial fluid loss additives is needed.In this work, we use chemically cross-linked microgel suspensions as the fluid loss additive and study its jamming behaviour in transparent model porous media. We make use of polydimethylsiloxane (PDMS) devices as model porous media which allows direct observation of the jamming process coupled with quantitative measurements. We fabricate microfluidic devices for frontal flow filtration and lateral flow filtration with different pore sizes to see how parameters like surface wettability, particle concentration, particle size and flow rates affect the filter cake formation.We present a method of controlling the size of the microgel suspensions. We then describe an approach for preparing higher concentration suspensions and investigate the rheology of the suspensions as a function of concentration. Furthermore, we present a simple method of forming a filter cake of the microgel suspension on a supporting membrane and estimate the permeability of the filter cake formed for the flow of water using Darcy’s law
Book chapters on the topic "Darcy's permeability"
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Wang, Chi-Yuen, and Michael Manga. "Groundwater Flow and Transport." In Lecture Notes in Earth System Sciences. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64308-9_2.
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AbstractWe summarize the basic principles of, and governing equations for, groundwater flow and transport. Topics covered include the concepts of pressure and hydraulic head, Darcy’s law, permeability, and storage. We compare saturated and unsaturated flow. We provide an introduction to heat and solute transport.
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Liu, Hui-Hai. "Generalization of Darcy’s Law: Non-Darcian Liquid Flow in Low-Permeability Media." In Fluid Flow in the Subsurface. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43449-0_1.
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Frederking, T. H. K., W. A. Hepler, S. W. K. Yuan, and W. F. Feng. "Determination of the Darcy Permeability of Porous Media Including Sintered Metal Plugs." In Advances in Cryogenic Engineering. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4613-2213-9_58.
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Sun, Pingping, Maosheng Zhang, Lifeng Zhu, Ying Pei, and Xiujuan Cheng. "An In-situ Darcy Method for Measuring Soil Permeability of Shallow Vadose Zone." In Landslide Science for a Safer Geoenvironment. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05050-8_30.
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Sinjapo, Suradech, Panuwat Chanmak, and Bundit Krittacom. "Permeability and Inertia Coefficient of Wire-Mesh Porous Media Estimated by a Darcy-Forchheimer Equation." In Proceedings of the 5th International Conference on Signal Processing and Information Communications. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13181-3_13.
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"Fluid Flow Through Pipes and Porous Media." In Petroleum Engineering Explained: Basic Concepts for Novices. The Royal Society of Chemistry, 2020. http://dx.doi.org/10.1039/9781788016681-00144.
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Understanding how oil, water and gas, and indeed all fluids, flow is critical in petroleum engineering. In this chapter, we will examine how fluids flow, first through simple pipes, and then through porous media. We will consider the different flow regimes under which liquids, gases and mixtures of liquids and gases will flow through horizontal and vertical pipes. We will learn how to apply Bernoulli's equation modified to account for losses due to friction and flow through fittings in order to calculate the flow rates through a network of pipes. This will be illustrated through several worked example calculations. Next, we will consider flow through porous media. We will see how Darcy's law governs the flow of a fluid through the network of pores within a formation. The concepts of absolute permeability and relative permeability will also be covered.
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"Darcy permeability." In Dictionary Geotechnical Engineering/Wörterbuch GeoTechnik. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-41714-6_40252.
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Kim, Song Chol, Myong Gun Hong, and Jong Ho Song. "Determination of Starting Pressure Gradient of Oil and Water in Low-Permeability Reservoirs Using Genetic Algorithm." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2023. http://dx.doi.org/10.3233/faia230058.
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We consider a method for the determination of the starting pressure gradients of oil and water in two-phase flow in low-permeability reservoirs. Moreover, we obtain the relative permeability curves of oil and water according to water saturation for the interpretation of oil-water two-phase flow. In the case of two-phase Darcy flow in reservoirs, in order to obtain the relative permeability curves of oil and water according to water saturation, the JBN (Johnson, Bossler and Naumann) method is improved universally which is based on the analysis of data of two-phase unsteady displacement. The method may be improved in the case of low velocity non-Darcy flow in the low-permeability reservoirs, too. Therefore, in the context, we present a new method by which we can determine the starting pressure gradient of oil and water in two-phase non-Darcy flow in the low-permeability reservoirs. Based on these starting pressure gradients, we obtain relative permeability curves of oil and water according to water saturation by the process of data from two-phase unsteady displacement experiment using the Genetic Algorithm. In order to do for this, when oil and water flow simultaneously, the water content function in the condition of oil-water two-phase flow is obtained from the equations of motion of oil and water, and the equation of determining relative permeabilities using experimental data is presented. Based on this, the starting pressure gradients of oil and water are determined using search method of the Genetic Algorithm with powerful self-adaptability, and the curve of the relative permeability is plotted. The method can be improved effectively to determine the starting pressure gradients and relative permeabilities of oil and water in two-phase seepage in the low-permeability reservoirs and to study the numerical simulation and the reservoir engineering in these reservoirs.
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Li, Guodong, Sijun Zhang, and Penghui Jiang. "Numerical Study of a Cross Parachute Using Fluid–Structure Interaction Method." In Advances in Transdisciplinary Engineering. IOS Press, 2025. https://doi.org/10.3233/atde250100.
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In this paper the fluid-structure interaction (FSI) numerical simulation of a cross parachute is carried out. The simulation model solves the N-S equation by the Arbitrary Lagrangian-Eulerian (ALE) method, the FSI is based on the penalty function method, and the deformation of parachute is calculated by finite element method (FEM). The parachute fabric permeability is considered using Darcy’s law. The simulation results include parachute opening load, opening time, parachute stress, etc. The simulation results are compared with the wind tunnel test results and the agreement is well. By comparing the results of different incoming velocities, the influence of dynamic pressure on the parachute opening time are analyzed.
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Bechtold, Georg. "What Darcy Really Meant - the Truth on Permeability." In Composite Technologies for 2020. Elsevier, 2004. http://dx.doi.org/10.1016/b978-1-85573-831-7.50140-1.
Full textConference papers on the topic "Darcy's permeability"
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Xu, Ziyao, and Yang Yang. "The Hybrid-Dimensional Darcy's Law: A Non-Conforming Reinterpreted Discrete Fracture Model (RDFM) for the Compressible Miscible Displacement and Multicomponent Gas Flow in Fractured Media." In SPE Reservoir Simulation Conference. SPE, 2023. http://dx.doi.org/10.2118/212164-ms.
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Abstract In this work, we develop a non-conforming reinterpreted discrete fracture model for the compressible miscible displacement and multicomponent gas flow in porous media containing high-permeability fractures and/or low-permeability barriers based on the hybrid-dimensional Darcy's law established in our previous work. The key idea of the model is to describe the permeability of codimension-one fractures and barriers by the Dirac-delta functions. When there are only fractures, delta functions are added to the permeability tensor on the right-hand side of the Darcy's law. In contrast, when there are only barriers, delta functions are added to the inverse of the permeability tensor, which represents the resistance to fluids, on the left-hand side of the Darcy's law. When both appear, delta functions are contained on both sides by the principle of superposition. Thereby, we establish partial differential equations (PDEs) to model fluid flow in fractured porous media, which exempts any requirements on meshes. We adopt the discontinuous Galerkin (DG) method to discretize the model in space and the second order implicit pressure explicit concentration (SIMPEC) method to march in time. The resulting non-conforming discrete fracture model is local mass conservative, flexible for complex geometry and easy to implement. The good performance of the method is demonstrated by several numerical examples.
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Hailong, Liu, and Wu Shuhong. "Transient Pressure Behavior for Low Permeability Oil Reservoir Based on New Darcy's Equation." In SPE/IATMI Asia Pacific Oil & Gas Conference and Exhibition. Society of Petroleum Engineers, 2015. http://dx.doi.org/10.2118/176119-ms.
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Kou, Rui, Saad Fahaid K. Alafnan, and I. Yucel Akkutlu. "Coupling of Darcy's Equation with Molecular Transport and its Application to Upscaling Kerogen Permeability." In SPE Europec featured at 78th EAGE Conference and Exhibition. Society of Petroleum Engineers, 2016. http://dx.doi.org/10.2118/180112-ms.
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Xu, Jianlong, and Bhavani V. Sankar. "Prediction of Gas Permeability Through Multiple-Ply Composite Laminates." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13690.
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Polymer matrix composites are candidate materials for cryogenic tanks for Crew Exploration Vehicles and Crew Launch Vehicles planned by NASA for future space missions. However gas leakage through microcracks and delaminations remains as a critical problem that needs to be solved. In the present work, gas permeability mechanism through multiple ply laminates is investigated. Different from the through matrix cracks in cross ply laminates, stitch cracks are observed in angle-ply laminates during experimentation. Stacking sequences [0/θn/90]s are investigated. From experimental observations presented in the literature, stitch cracks seem to develop in angle plies depending on the value of θ and n. A representative volume element (RVE) is analyzed by three-dimensional finite element method (FEM). Two methods are used to calculate the energy release rate: three-dimensional J-integral by ABAQUS 6.5™ and strain energy difference of RVEs before and after crack propagation. Based on energy release rate, the mechanisms and other parameters that control the creation and propagation of stitch cracks are investigated. The results will lead to the development of a relation between loads and the number of stitch cracks and their lengths. The permeation model is based on Darcy's law for porous materials. By integrating Darcy's law in the thickness direction of the composite laminate, the gas permeability can finally be expressed in terms of crack densities and crack opening displacements (COD). Three-dimensional FE analyses will be performed to find out COD for a given crack density and crack length. The results for gas permeability obtained through the simulations will be compared to the experimental results of cross ply laminates from previous work to understand the effects of laminate configuration on gas permeability.
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Garcia, P. F. V., E. S. R. Santos, D. F. Rossi, F. H. Ferreira, and A. M. Borba. "Stress-Permeability Characterization and Proposal of Creep Model for Pre-Salt Carbonates Under Lab-Scale Stepwise Hydrostatic Loading and Unloading." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-0757.
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ABSTRACT: In an attempt to expand the studies of rock creep deformation from the classic unidimensional creep theory, this study presents results obtained from geomechanical lab-scale tests of pre-salt carbonate cylindrical samples subjected to stepwise hydrostatic loading and unloading ramps, from 30 to 80 MPa and back, followed by short-term 2.5-hour periods of stress hold. All samples were simultaneously subjected to an axial flow of monophasic oil with upstream pressure measurements. By using Darcy's law, it was possible to obtain an estimate of absolute permeability variation as function of measured axial and radial deformation. It was possible to characterize a power fit nondimensional coefficient of the relation between permeability and porosity variations during loading conditions. Such coefficient, despite presenting higher values during stress hold steps (order 10 to 100) than during load ramps (order 0.01 to 0.1), its mean value was observed to be similar to the ones found in the literature (order 1). At unloading stage, most of the samples did not present permeability recovery, indicating a high level of plastic deformation. The authors also propose volumetric creep models for each sample by taking into account their porosity and their variation with each stress step that they were subjected to. 1. INTRODUCTION It is known that reservoir rock permeability varies during the oil and gas exploitation process. This variation occurs due to increase/decrease of fluids pressure and/or rock stress state. In order to better emulate the variation of permeability in geomechanics and production simulators, lab-scale experiments can be performed on reservoir rock samples to obtain relations between permeability and stress states. Petunin et al. (2011) proposed a power relation between the ratios of absolute permeability k and porosity φ to their respective reference state for sandstone, carbonate and fractured rock samples tested with hydrostatic compressions and simultaneous porosity and permeability measurements. Santos et al. (2014) successfully reproduced Petunin's k−φ relation on limestone and dolomite samples by testing them on robust compression test machine and indirectly measuring φ from volumetric deformation εv and estimating k from Darcy's law by imposing axial oil flow on the samples and measuring flow pressure.
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Hailong, Liu, and Wu Shuhong. "The Numerical Simulation for Multi-Stage Fractured Horizontal Well in Low permeability reservoirs Based on Modified Darcy's Equation." In SPE/IATMI Asia Pacific Oil & Gas Conference and Exhibition. Society of Petroleum Engineers, 2015. http://dx.doi.org/10.2118/176269-ms.
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He, Xupeng, Zhen Zhang, Marwa AlSinan, Hyung Kwak, and Hussein Hoteit. "Fully Coupled Hydromechanical Approach for Flow in Fractured Rocks Using Darcy-Brinkman-Biot." In Middle East Oil, Gas and Geosciences Show. SPE, 2023. http://dx.doi.org/10.2118/213326-ms.
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Abstract Coupling flow with geomechanical processes at the pore scale in fractured rocks is essential in understanding the macroscopic fluid flow processes of interest, such as geothermal energy extraction, CO2 sequestration, and hydrocarbon production from naturally and hydraulically fractured reservoirs. To investigate the microscopic (pore-scale) phenomena, we present a fully coupled mathematical formulation of fluid flow and geomechanical deformation to model the fluid flow in fractured rocks. In this work, we employ a Darcy-Brinkman-Biot approach to describe the fully coupled flow and geomechanical processes in fractured rocks at the pore scale. Darcy-Brinkman-Stokes (DBS) model is used to model multi-scale flow in the fractured rocks, in which fracture flow is described by Navier-Stokes equations and flow in the surrounding matrix is modeled by Darcy's law. With this approach, a unified conservation equation for flow in both media (fracture and matrix) is applied. We then apply Biot's poroelasticity theory and Terzaghi's effective stress theory to capture the geomechanical deformation. The continuity of the fluid pressure is imposed to connect the DBS equation and the stress-seepage equation. This coupled model is employed to determine the permeability within the microfracture. Numerical results show that this coupled approach can capture the permeability under the effects of solid deformation and multi-scale formation. We develop a fully coupled model to capture the pore-scale flow-geomechanically process in fractured rocks. To our knowledge, the fully coupled framework is developed and applied to characterize fracture permeability at the pore scale in fractured rocks for the first time.
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Li, Y., X. Li, J. Shi, H. Wang, L. Wu, and S. Teng. "A Nano-Pore Scale Gas Flow Model for Shale Gas Reservoir." In SPE Energy Resources Conference. SPE, 2014. http://dx.doi.org/10.2118/spe-169939-ms.
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AbstractMany shale/tight gas reservoirs can have pore scale values in the range from one to hundreds of nanometer. And the flow in nano-scale deviate the Darcy's law. Knudsen diffusion and/or gas slippage effects usually have modeled to character the non-Darcy flow mechanisms by many authors.In this paper, we investigate the non-Darcy flow mechanisms in unconventional gas reservoirs, and classify these various mechanisms based on different pore scale and pressure. Then, based on the change of pore scale and pressure, the models of gas flow that consider the absorption, desorption, slip flow, transition flow, Knudsen diffusion and continuous flow in nano-pore have been proposed to evaluate the flow character. Then, the relationship between the absorbed layers and pressure or Langmuir coefficient has been built and the influences of absorption of gas molecule have been studied on the permeability change. Compared with experimental value, the model could agree with the experimental value very well. And, desorption of the absorbed layers make the pore diameter become larger. When the thickness of the absorbed layers and the pore diameter ratio is larger than 0.1, the effect of adsorbed layer becomes very significant.With this study, the change of permeability and the gas rate on entire long term production performance could be understood better and predicted, and it is very important for the optimization of production performance and adjustment.
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Abdullah, Eassa, Mobarak Baatiyah, Jaber Aljabri, et al. "Developing a Generalized Correlation to Obtain Steady-State Based Permeability Using a Probe Permeameter." In SPE Reservoir Characterisation and Simulation Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/212639-ms.
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Abstract The importance of permeability cannot be under-stimated. It is used in crucial equations used to determine quantities analysed by reservoir, drilling, and production engineers. Using permeability along with other properties is important to understanding reservoir behaviour when wells are drilled, to calculate the rate of the fluid flow, as illustrated by Darcy's equation that relates fluid flow to permeability. Measuring permeability in the laboratory with the conventioanl available steady-state equipment can be time consuming, especially if it was done by gas injection which requires measuring at different pressure points to satisfy Klinkenberg equation. A quick measuring equipment called the prob permeameter have been used for many years, it quantitatively performs a permeability point measurement as a function of position on either a whole core, slabbed core or a rock slab. However, despite of its prompt and easy measurement, most of the results represents a general idea about the actual permeability and sometimes even falls out of the range, which makes it unrelaiable. Series of experiments were conducted for a variety of rock samples with a wide range of permeability ranging from tight to permeable, to compare the generated results between both of the above equipment. The results were graphed and been compared using different point of views, mathematicalwise, petroleum engineeringwise, and geologicalwise. Ultimately, an equation to correlate between the results was developed graphically and using logistic regression techniques.
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Qiao, Yangyang, Pål Østebø Andersen, and Sadegh Ahmadpour. "Effective Relative Permeabilities Based on Momentum Equations with Brinkmann Terms and Viscous Coupling." In SPE EuropEC - Europe Energy Conference featured at the 84th EAGE Annual Conference & Exhibition. SPE, 2023. http://dx.doi.org/10.2118/214388-ms.
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Abstract The relative permeability expresses the mobility reduction factor when a fluid flows through a porous medium in presence of another fluid and appears in Darcy's law for multiphase flow. In this work, we replace Darcy's law with more general momentum equations accounting for fluid-rock interaction (flow resistance), fluid-fluid interaction (drag) and Brinkmann terms responding to gradients in fluid interstitial velocities. By coupling the momentum equations with phase transport equations, we study two important flow processes: forced imbibition (core flooding) and counter-current spontaneous imbibition. In the former a constant water injection rate is applied, and capillary forces neglected, while in the latter, capillary forces drive the process, and the total flux is zero. Our aim is to understand what relative permeabilities result from these systems and flow configurations. From previous work, when using momentum equations without Brinkmann terms, unique saturation dependent relative permeabilities are obtained for the two flow modes that depend on the flow mode. Now, with Brinkmann terms included the relative permeabilities depend on local spatial derivatives of interstitial velocity and pressure. Local relative permeabilities are calculated for both phases utilizing the ratio of phase Darcy velocity and phase pressure gradient. In addition, we utilize the JBN method for forced imbibition to calculate relative permeabilities from pressure drop and average saturation. Both flow setups are parameterized with literature data and sensitivity analysis is performed. During core flooding, Brinkmann terms give a flatter saturation profile and higher front saturation. The saturation profile shape changes with time. Local water relative permeabilities are reduced, while they are slightly raised for oil. The saturation range where relative permeabilities can be evaluated locally is raised and made narrower with increased Brinkmann terms. JBN relative permeabilities deviate from the local values: the trends in curves and saturation range are the same but more pronounced as they incorporate average measurements including the strong impact at the inlet. Brinkmann effects vanish after sufficient distance traveled resulting in the unique saturation functions as a limit. Unsteady state relative permeabilities (based on transient data from single phase injection) differ from steady state relative permeabilities (based on steady state data from co-injection of two fluids) because the Brinkmann terms are zero at steady state. During spontaneous imbibition, higher effect from the Brinkmann terms caused oil relative permeabilities to decrease at low water saturations and slightly increase at high saturations, while water relative permeability was only slightly reduced. The net effect was a delay of the imbibition profile. Local relative permeabilities approached the unique saturation functions without Brinkmann terms deeper in the system because phase velocities (involved in the Brinkmann terms) decrease with distance. In both systems, scaling and simulations demonstrate that the relative change in relative permeabilities due to Brinkmann terms increases with Brinkmann coefficient, permeability and inverse squared distance from the inlet.
Reports on the topic "Darcy's permeability"
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Lohne, Arild, Arne Stavland, Siv Marie Åsen, Olav Aursjø, and Aksel Hiorth. Recommended polymer workflow: Interpretation and parameter identification. University of Stavanger, 2021. http://dx.doi.org/10.31265/usps.202.
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Injecting a polymer solution into a porous medium significantly increases the modeling complexity, compared to model a polymer bulk solution. Even if the polymer solution is injected at a constant rate into the porous medium, the polymers experience different flow regimes in each pore and pore throat. The main challenge is to assign a macroscopic porous media “viscosity” to the fluid which can be used in Darcy law to get the correct relationship between the injection rate and pressure drop. One can achieve this by simply tabulating experimental results (e.g., injection rate vs pressure drop). The challenge with the tabulated approach is that it requires a huge experimental database to tabulate all kind of possible situations that might occur in a reservoir (e.g., changing temperature, salinity, flooding history, permeability, porosity, wettability etc.). The approach presented in this report is to model the mechanisms and describe them in terms of mathematical models. The mathematical model contains a limited number of parameters that needs to be determined experimentally. Once these parameters are determined, there is in principle no need to perform additional experiments.