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1

Pour, Mahmoud N., and A. Zabihi. "Numerical Simulation of a Single-Phase Flow Through Fractures with Permeable, Porous and Non-Ductile Walls." Engineering, Technology & Applied Science Research 7, no. 5 (2017): 2041–46. https://doi.org/10.5281/zenodo.1037234.

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This paper attempts to study flows within fractures through a set of numerical simulations. In addition, a special care is given to hydraulic features and characteristics of fractures. The research is performed through the application of calculative fluid dynamics and a finite volume discrete schema. The investigated flows are laminar, single-phase and stable flows of water and air through fractures with penetrable walls. The selected fracture geometry is inspired from the tomographic scan of a stone fracture. Water and air are modeled in fractures with permeable walls and different permeabili
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2

Pour Mahmoud, N., and A. Zabihi. "Numerical Simulation of a Single-Phase Flow Through Fractures with Permeable, Porous and Non-Ductile Walls." Engineering, Technology & Applied Science Research 7, no. 5 (2017): 2041–46. http://dx.doi.org/10.48084/etasr.1448.

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This paper attempts to study flows within fractures through a set of numerical simulations. In addition, a special care is given to hydraulic features and characteristics of fractures. The research is performed through the application of calculative fluid dynamics and a finite volume discrete schema. The investigated flows are laminar, single-phase and stable flows of water and air through fractures with penetrable walls. The selected fracture geometry is inspired from the tomographic scan of a stone fracture. Water and air are modeled in fractures with permeable walls and different permeabili
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3

Fanchi, John R. "Directional Permeability." SPE Reservoir Evaluation & Engineering 11, no. 03 (2008): 565–68. http://dx.doi.org/10.2118/102343-pa.

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Summary A relationship between permeability tensor and coordinate orientation is used to estimate the error that occurs when some of the terms in the permeability tensor are neglected. The formula for calculating the errors that appear in the magnitude and direction of flow rate are presented. The results are applicable to any reservoir system that is influenced by directional permeability. Introduction Reservoir management experience has demonstrated that anisotropic permeability is needed to correctly solve fluid-flow problems in a variety of realistic settings. Permeability anisotropy in a
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4

Allen, Myron B., and George F. Pinder. "The Convergence of Upstream Collocation in the Buckley-Leverett Problem(includes associated papers 14810 and 14970 )." Society of Petroleum Engineers Journal 25, no. 03 (1985): 363–70. http://dx.doi.org/10.2118/10978-pa.

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Abstract Upstream collocation is a fast and accurate scheme for simulating multiphase flows in oil reservoirs. In contrast to standard orthogonal collocation, upstream collocation yields numerical solutions to the Buckley-Leverett problem that converge to correct solutions physically. The failure of standard orthogonal collocation is not surprising, since the Buckley-Leverett problem as commonly stated is posed incompletely. The equal-area rule of Buckley and Leverett and the Welge tangent construction both specify additional constraints needed to close the problem properly. An error analysis
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5

Vengroff, Richard, Lucy Creevey, and Henry Krisch. "Electoral System Effects on Gender Representation: The Case of Mixed Systems." Japanese Journal of Political Science 1, no. 2 (2000): 197–227. http://dx.doi.org/10.1017/s1468109900002024.

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Electoral systems as endogenous re-distributive institutions (Tsebelis, 1990) help to define the rules of the game. In this manner they have an important impact among regional, class, ethnic, gender, and other sub-groups of the general population on the distribution and variation in outcome of who is nominated for, and elected to, national office. In particular, there is a well-established and growing literature on the impact of electoral systems and electoral system reform on the representation of women in national legislative bodies (Darcy, Welch, and Clarke 1994; Matland and Taylor 1997; Ca
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6

Wheeler, Mary F., Guangri Xue, and Ivan Yotov. "Accurate Cell-Centered Discretizations for Modeling Multiphase Flow in Porous Media on General Hexahedral and Simplicial Grids." SPE Journal 17, no. 03 (2012): 779–93. http://dx.doi.org/10.2118/141534-pa.

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Summary We introduce an accurate cell-centered method for modeling Darcy flow on general quadrilateral, hexahedral, and simplicial grids. We refer to these discretizations as the multipoint-flux mixed-finite-element (MFMFE) method. The MFMFE method is locally conservative with continuous fluxes and can be viewed within a variational framework as a mixed finite-element method with special approximating spaces and quadrature rules. We study two versions of the method: with a symmetric quadrature rule on smooth grids and a nonsymmetric quadrature rule on rough grids. The framework allows for hand
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7

Kalateh, F., and F. Hosseinejad. "Dynamic Analysis of Porous Media using Generalized Plasticity Model and Non-Darcy Flow Rule." Journal of Computational Methods In Engineering 38, no. 1 (2019): 101–18. http://dx.doi.org/10.29252/jcme.38.1.101.

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8

Anastasios, Lazopoulos, та Lazopoulos Kostantinos. "On Λ-Fractional fluid mechanics". Annals of Mathematics and Physics 7, № 1 (2024): 107–17. http://dx.doi.org/10.17352/amp.000114.

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Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule do not apply to other fractional derivatives; This, according to Differential Topology, makes the definition of a differential impossible for these derivatives. Therefore, this leaves Λ-fractional analysis the only analysis generating differential geometry necessary to establish the governing laws in physics and mechanics. Hence, it is most necessary to use Λ-fractional derivative and Λ-fractional transformation to de
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9

Lin, Chen-Jiann, Tseng-Hsiang Tse, Liu-Cheng Che, and Liang-Ming Tsai. "Computer aided design and analysis on distributors in DAC columns." MATEC Web of Conferences 185 (2018): 00024. http://dx.doi.org/10.1051/matecconf/201818500024.

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Dynamic axial compression (DAC) columns are key elements in simulated moving bed, which is a chromatography process in drug industry and chemical engineering. In this study, rules for designing distributors are proposed based on mass conservation and validated by experiments, the computer aided design (CAD) and the computational fluid dynamics (CFD). Experimental works are conducted to choose feasible numerical parameters for simulations. In CFD, the transient laminar flow fields are governed by the momentum and species transport equations with Darcy's law to model the porous zone in the packe
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10

Kumar, Vinod, Pushap Lata Sharma, and Deepak Bains. "Thermal convection in a Brinkman porous medium saturated with couple-stress nanofluid: a Galerkin weighted residual approach for different conducting boundaries." Rakenteiden Mekaniikka 58, no. 1 (2025): 16–32. https://doi.org/10.23998/rm.149371.

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The thermal instability of a couple-stress nanofluid saturated by a porous media is studied in this article. For the porous medium, the Darcy–Brinkman model is used. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. Three cases of free-free, rigid-rigid and rigid-free boundaries are considered. For this problem, oscillatory convection is ruled out. By using the one-term Galerkin method and normal mode analysis, we solve the eigenvalue problem with Rayleigh number as an eigenvalue. The effects of Darcy number, couple-stress parameter, porosity para
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Li, Xiao Zhen, and Yuan Zhu Zhang. "Theory Analysis on Chloride Permeation of Unsaturated Concrete in Subsea Tunnel." Advanced Materials Research 915-916 (April 2014): 760–63. http://dx.doi.org/10.4028/www.scientific.net/amr.915-916.760.

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Subsea tunnel develops rapidly and has a good prospect, but bad service environment, maintenance of a high degree of difficulty and cost make its durability to be a serious study issue. Owing to Darcy law and pressure change law, moisture seepage rule in unsaturated concrete is analyzed. Establish the theoretical models about the pressure head and flow rate change with the location and time, concluded that the penetration depth formula. On this basis, convection-diffusion equation of chloride under pressure is solved where an analytical solution is obtained. The above theoretical model is appl
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12

Siddeshwar, P. G. "Darcy-Bénard Convection using a Non-Fourier Thermal Model." Mapana - Journal of Sciences 5, no. 2 (2006): 1–13. http://dx.doi.org/10.12723/mjs.9.1.

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In the paper the effect of replacing the classical Fourier thermal model by the non-classical non-Fourier thermal model on Darcy-Benard convection in a fluid-saturated densely-packed porous medium is studied and, in particular, how the Nusselt numbers of the solid and fluid phases are affected by the adoption of such a model is considered. A weighted average Nusselt number is also defined and analyzed to study the overall heat transfer in the case of steady finite-amplitude convection which is amenable to analytical treatment. Sub-critical instability is ruled out in mono-diffusive convection
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13

Rothman, Daniel H. "Cellular‐automaton fluids: A model for flow in porous media." GEOPHYSICS 53, no. 4 (1988): 509–18. http://dx.doi.org/10.1190/1.1442482.

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Numerical models of fluid flow through porous media can be developed from either microscopic or macroscopic properties. The large‐scale viewpoint is perhaps the most prevalent. Darcy’s law relates the chief macroscopic parameters of interest—flow rate, permeability, viscosity, and pressure gradient—and may be invoked to solve for any of these parameters when the others are known. In practical situations, however, this solution may not be possible. Attention is then typically focused on the estimation of permeability, and numerous numerical methods based on knowledge of the microscopic pore‐spa
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14

Li, Boying, Yuhui Zhou, Su Li, Yiping Ye, and Hongfa Liu. "Injection-production optimization of fault-karst reservoir—considering high-speed non-Darcy effect." Journal of Petroleum Exploration and Production Technology 12, no. 4 (2021): 1023–36. http://dx.doi.org/10.1007/s13202-021-01363-3.

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AbstractFault-karst reservoirs are featured by complex geological characteristics, and accurate and fast simulation of such kind of reservoirs using traditional simulator and simulation methods is pretty hard. Herein, we tried to discrete the complex fault-karst structures into one-dimensional connected units connecting the well, fracture and cave based on reservoir static physical parameters and injection-production dynamics. Two characteristic parameters, conductivity and connected volume, are proposed to characterize the inter-well connectivity and material basis. Meanwhile, the high-speed
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15

Garnett, R. L. "Recovery of Heavy Oil From the Monterey Formation in Offshore California by Cyclic Injection of Light-Oil Diluent." SPE Reservoir Evaluation & Engineering 4, no. 01 (2001): 51–58. http://dx.doi.org/10.2118/70992-pa.

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Summary This paper describes a single-well pilot in which light-oil diluent was injected through tubing to lower in-situ oil viscosity and increase production from a low-gravity oil well. The pilot well is located on the Heritage platform in the Santa Ynez Unit and produces from the Monterey formation. The pilot validated laboratory data suggesting that large production-rate increases could result from high-rate diluent injection. Introduction The Monterey formation is a complex reservoir with intense structuring, fracturing, and highly variable rock properties. It is a dual-porosity system, w
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16

Liu, Yi Kun, Shuang Liang, Xin Wan, and Yang Xuan. "Oil-Water Two Phase Flow Model Considering Threshold Pressure Gradient." Advanced Materials Research 594-597 (November 2012): 2490–94. http://dx.doi.org/10.4028/www.scientific.net/amr.594-597.2490.

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Base on the non-Darcy flow problem in low permeability reservoirs, the oil-water two phase radial fluid flow model considering threshold pressure gradient is established, the output and formation pressure distribution formulas are obtained,the production variation rule and the influence threshold pressure gradient on formation pressure distribution of different permeability and different well spacing are discussed, the reasonable well spacing of different threshold pressure gradient is calculated. Research shows that, the smaller the permeability, the bigger the corresponding threshold pressur
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17

Wojciechowski, Marek. "Minimal Kinematic Boundary Conditions for Computational Homogenization of the Permeability Coefficient." Acta Mechanica et Automatica 11, no. 3 (2017): 199–203. http://dx.doi.org/10.1515/ama-2017-0030.

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AbstractIn the paper, computational homogenization approach is used for recognizing the macroscopic permeability from the microscopic representative volume element (RVE). Flow of water, at both macro and micro level, is assumed to be ruled by Darcy law. A special averaging constraint is used for numerical flow analysis in RVE, which allows to apply macroscopic pressure gradient without the necessity to use directly Dirichlet or Neumann boundary conditions. This approach allows arbitrarily shaped representative volumes and eliminates undesirable boundary effects. Generated effective permeabilit
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18

Mramor, K., R. Vertnik, and B. Šarler. "Simulation of macrosegregation in continuous casting of steel based on large-eddy simulation turbulence model and meshless solution procedure." IOP Conference Series: Materials Science and Engineering 1274, no. 1 (2023): 012051. http://dx.doi.org/10.1088/1757-899x/1274/1/012051.

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Abstract The formation of macrosegregation pattern in steel is explored for the continuous casting process. The related solidification problem is described by incompressible turbulent fluid flow, governed by mass, momentum, energy, and species conservation equations. The solid-liquid system is designed in a mixture continuum model formulation, and the mushy region is approximated with the Darcy model. The lever rule describes the formation of microsegregation of carbon. Turbulence is modelled with a large-eddy simulation approach implemented with the Smagorinsky model and van Driest correction
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19

Dmitriev, N. M., and V. M. Maksimov. "Filtration-flow effects and variants of constructing nonlinear filtration laws in the case of violation of the Darcy rule with isotropic filtration properties." Doklady Physics 45, no. 7 (2000): 350–52. http://dx.doi.org/10.1134/1.1307088.

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20

Wang, Dan, Fuyu Wu, Yunzhang Rao, Wei Xu, Min Han, and Liang Shi. "Simulation of an Ionic Rare Earth Leaching Process Based on the Darcy Law-Chemical Reaction Engineering-Transfer of Dilute Substance Coupling." Minerals 12, no. 12 (2022): 1500. http://dx.doi.org/10.3390/min12121500.

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The basic principle of in situ leaching is chemical mining. The process of in situ leaching is to inject leaching solution into the ore body, and the leaching solution is spread in the pores of the mountain. The process is completed by the coupling action of the liquid seepage field and ion exchange reactions. In the production process, only one injection of liquid can be carried out in a certain stope, so it is impossible to improve the injection process and leaching effect through field practice. By simulating the in situ leaching process of rare earth ions, this paper builds the test stope
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21

Mramor, Katarina, Vanja Hatić, Boštjan Mavrič, and Božidar Šarler. "Modelling of macrosegregation with mesosegregates in a binary metallic cast by the diffuse approximate meshless method." MATEC Web of Conferences 207 (2018): 03002. http://dx.doi.org/10.1051/matecconf/201820703002.

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The solidification of binary metallic alloy (Sn-10%Pb) is simulated in 2D with a diffuse approximate meshless method. The macrosegregation with mesosegregates is described by a coupled set of volume-averaged partial differential equations. The incompressible Newtonian fluid is described by coupled mass and momentum equations and the mushy zone is treated as a Darcy porous media. The energy transport is described with enthalpy formulation and the species transfer is incorporated by considering the Lever rule approximation. The thermo-solutal Boussinesq hypothesis is applied in order to account
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22

Ahmad, Farooq, A. Othman Almatroud, Sajjad Hussain, Shan E. Farooq, and Roman Ullah. "Numerical Solution of Nonlinear Diff. Equations for Heat Transfer in Micropolar Fluids over a Stretching Domain." Mathematics 8, no. 5 (2020): 854. http://dx.doi.org/10.3390/math8050854.

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A numerical study based on finite difference approximation is attempted to analyze the bulk flow, micro spin flow and heat transfer phenomenon for micropolar fluids dynamics through Darcy porous medium. The fluid flow mechanism is considered over a moving permeable sheet. The heat transfer is associated with two different sets of boundary conditions, the isothermal wall and isoflux boundary. On the basis of porosity of medium, similarity functions are utilized to avail a set of ordinary differential equations. The non-linear coupled ODE’s have been solved with a very stable and reliable numeri
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23

Mramor, K., R. Vertnik, and B. Šarler. "Numerical modelling of macrosegregation in three-dimensional continuous casting of steel billets." IOP Conference Series: Materials Science and Engineering 1281, no. 1 (2023): 012029. http://dx.doi.org/10.1088/1757-899x/1281/1/012029.

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Abstract Macrosegregation presents a considerable defect in the continuous casting of billets and can critically affect the final properties of the product. The numerical modelling can help to predict and better understand the segregation and flow patterns inside the mould. The process is modelled with a physical model described by a set of conservation equations describing the t heat transfer, turbulence, fluid flow, solidification and segregation. A two-equation low-Re k-epsilon model and Abe-Kondoh-Nagano closures are used to close governing equations in this incompressible fluid flow examp
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Feng, Chong, and Hua Cai. "Seepage Mechanics Mechanism of Undercompacted Mudstone's Formation." Applied Mechanics and Materials 459 (October 2013): 693–97. http://dx.doi.org/10.4028/www.scientific.net/amm.459.693.

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Buried mudstones general have undercompacted phenomenon. Undercompacted mudstones have the characteristics that the porosity and pore fluid pressure are abnormal bigger. In order to disclosure the seepage mechanics mechanism of undercompacted mudstones formation, this paper has summed up the seepage mechanics relationship when fluid flows through the mudstone, and has verified the relationships between the key physical quantities with the minimal pressure (pressure that can let the fluid flow in the mudstone) by the experiments in physics. This paper has also analysis the formations process of
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25

Yang, Bin, and Tianhong Yang. "Experimental Investigation of Water-Sand Mixed Fluid Initiation and Migration in Filling Fracture Network during Water Inrush." Advances in Civil Engineering 2021 (March 20, 2021): 1–20. http://dx.doi.org/10.1155/2021/6618504.

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For water inrush induced by fracture network flow, the critical velocity of the incipient motion of sand particles was obtained, and the functional relation between critical velocity and particle size was established through a series of tests on the nonlinear flow characteristics of a filling fracture network. The influence of the particle size distribution, hydrodynamic force, and geometric features of the fracture network on the characteristics of particle loss; distribution laws; and water-sand, two-phase migration was also explored. Moreover, the interactions amongst water, movable particl
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26

Liu, Hua, Zhi Liang Shi, Xiang Fang Li, and Yun Cong Gao. "Mathematical Model for Condensate Gas Flow in Porous Media with Phase Change." Advanced Materials Research 616-618 (December 2012): 850–57. http://dx.doi.org/10.4028/www.scientific.net/amr.616-618.850.

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The retrograde condensation occurs in the condensate gas reservoir when the formation pressure is under dew point. The condensate appears in the formation with phase change in the process of condensate gas flowing in porous media, which change the temperature field and distribution of fluid pressure and affect flow rules of condensate gas in porous media accordingly. New momentum equations are set up, considering Non-Darcy flow effects, the phase change between condensate gas and condensate, phase velocity and fluid character, based on a simple model of three zones. Surface tension and capilla
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27

Long, Long, Yajun Li, Houjian Gong, and Mingzhe Dong. "A Numerical Study of Initiation and Migration of Trapped Oil in Capillaries with Noncircular Cross Sections." Geofluids 2019 (August 8, 2019): 1–9. http://dx.doi.org/10.1155/2019/6343519.

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To clarify the initiation and migration mechanisms of a discontinuous oil phase in pores, a numerical study was performed to interpret the starting phenomenon and flowing rules of oil trapped in capillaries that have noncircular cross sections. In this study, capillaries with three different cross sections were used to investigate the deformation law of oil and the pressure drop across these microchannels at different displacement velocities by computational fluid dynamics (CFD). The geometrical structure of the microchannels was precisely controlled, and the migration process of the oil, whic
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28

Mramor, Katarina, Robert Vertnik, and Božidar Šarler. "Development of Three-Dimensional LES Based Meshless Model of Continuous Casting of Steel." Metals 12, no. 10 (2022): 1750. http://dx.doi.org/10.3390/met12101750.

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A large-eddy simulation (LES) based meshless model is developed for the three-dimensional (3D) problem of continuous casting (CC) of steel billet. The local collocation meshless method based on radial basis functions (RBF) is applied in 3D. The method applies scaled multiquadric (MQ) RBF with a shape parameter on seven nodded local sub-domains. The incompressible turbulent fluid flow is described using mass, energy, and momentum conservation equations and the LES turbulence model. The solidification system is solved with the mixture continuum model. The Boussinesq approximation for buoyancy an
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29

Furlan, Diego Albani, Elias Fernandes De Sousa, José Carlos Mendonça, Claudio Luiz Melo De Souza, Romildo Domingos Gottardo, and Rodollpho Artur de Souza Lima. "POTENCIAL HÍDRICO FOLIAR E DESENVOLVIMENTO VEGETATIVO DO CAFEEIRO CONILON SOB DIFERENTES LÂMINAS DE IRRIGAÇÃO NA REGIÃO E CAMPOS DOS GOYTACAZES - RJ." IRRIGA 26, no. 1 (2021): 13–28. http://dx.doi.org/10.15809/irriga.2021v26n1p13-28.

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POTENCIAL HÍDRICO FOLIAR E DESENVOLVIMENTO VEGETATIVO DO CAFEEIRO CONILON SOB DIFERENTES LÂMINAS DE IRRIGAÇÃO NA REGIÃO E CAMPOS DOS GOYTACAZES - RJ DIEGO ALBANI FURLAN1; ELIAS FERNANDES DE SOUSA2; JOSÉ CARLOS MENDONÇA3; CLAUDIO LUIZ MELO DE SOUZA4; ROMILDO DOMINGOS GOTTARDO 5 E RODOLLPHO ARTUR DE SOUSA LIMA6 1Laboratório de Engenharia Agrícola – LEAG, Universidade Estadual do Norte Fluminense Darcy Ribeiro, Av. Alberto Laqmedo, 2000, Parque Califórnia, Campos dos Goytacazes, RJ, Brasil, diegofurlan_vni@hotmail.com 2Laboratório de Engenharia Agrícola – LEAG, Universidade Estadual do Norte Flum
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Zhan, Jie, Zhihao Niu, Mengmeng Li, et al. "Numerical Simulation and Modeling on CO2 Sequestration Coupled with Enhanced Gas Recovery in Shale Gas Reservoirs." Geofluids 2021 (August 4, 2021): 1–15. http://dx.doi.org/10.1155/2021/9975296.

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CO2 geological sequestration in shale is a promising method to mitigate global warming caused by greenhouse gas emissions as well as to enhance the gas recovery to some degree, which effectively addresses the problems related to energy demand and climate change. With the data from the New Albany Shale in the Illinois Basin in the United States, the CMG-GEM simulator is applied to establish a numerical model to evaluate the feasibility of CO2 sequestration in shale gas reservoirs with potential enhanced gas recovery (EGR). To represent the matrix, natural fractures, and hydraulic fractures in s
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31

Ganoulis, J. "Modeling Hydrologic Phenomena [Free opinion]." Revue des sciences de l'eau 9, no. 4 (2005): 421–34. http://dx.doi.org/10.7202/705260ar.

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With the aim of suggesting some practical rules for the use of hydrological models, G. De MARSILY in his "free opinion" (Rev. Sci. Eau 1994, 7(3): 219-234) proposes a classification of hydrologic models into two categories: - models built on data (observable phenomena) and ; - models without any available observations (unobservable phenomena). He claims that for the former group of observable phenomena, models developed through a learning process as well as those based on the underlying physical laws are of the black box type. For the latter group of unobservable phenomena, he suggests that ph
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32

Mishra, S. R., Subhajit Panda, Mansoor Alshehri, Nehad Ali Shah, and Jae Dong Chung. "Sensitivity analysis on optimizing heat transfer rate in hybrid nanofluid flow over a permeable surface for the power law heat flux model: Response surface methodology with ANOVA test." AIMS Mathematics 9, no. 5 (2024): 12700–12725. http://dx.doi.org/10.3934/math.2024621.

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<abstract> <p>Joule dissipation has an important role in the conversion of mechanical energy to heat within a fluid due to the internal friction and viscosity. Moreover, Darcy friction is a measure of the resistance to flow in a porous medium. In response to the efficient heat transfer performance, a robust statistical approach was established to optimize the heat transfer rate in a two-dimensional flow of a nanofluid over a permeable surface embedded with a porous matrix. The electrically conducive fluid affected the flow phenomena to include a carbon nanotube nanoparticle in the
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33

Currenti, Gilda, Barbara Cantucci, Giordano Montegrossi, et al. "CO2 Leakage Scenarios in Shale Overburden." Minerals 13, no. 8 (2023): 1016. http://dx.doi.org/10.3390/min13081016.

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Potential CO2 leakage from deep geologic reservoirs requires evaluation on a site-specific basis to assess risk and arrange mitigation strategies. In this study, a heterogeneous and realistic numerical model was developed to investigate CO2 migration pathways and uprising time in a shaly overburden, located in the Malaysian off-shore. Fluid flow and reactive transport simulations were performed by TOUGHREACT to evaluate the: (1) seepage through the caprock; (2) CO2-rich brine leakage through a fault connecting the reservoir with seabed. The effect of several factors, which may contribute to CO
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34

Beckwith, Karen. "CANDIDATURE FEMMINILI E SISTEMI ELETTORALI." Italian Political Science Review/Rivista Italiana di Scienza Politica 20, no. 1 (1990): 73–103. http://dx.doi.org/10.1017/s0048840200008959.

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IntroduzioneLa debole presenza delle donne nelle assemblee legislative nazionali costituisce un aspetto sorprendente quanto permanente della vita politica delle democrazie occidentali. La presenza femminile in tali istituzioni non si avvicina nemmeno lontanamente alla proporzione delle donne nella popolazione e, inoltre, la percentuale di donne elette é inferiore nettamente a quella delle candidate all'elezione (Rule 1981; Norris 1985; Bagdanor 1984). Nella maggior parte delle assemblee legislative dei paesi occidentali meno del 10% dei membri della prima camera sono donne. Del sorprendente is
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35

Meng, Xuhui. "Variational inference in neural functional prior using normalizing flows: application to differential equation and operator learning problems." Applied Mathematics and Mechanics 44, no. 7 (2023): 1111–24. http://dx.doi.org/10.1007/s10483-023-2997-7.

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AbstractPhysics-informed deep learning has recently emerged as an effective tool for leveraging both observational data and available physical laws. Physics-informed neural networks (PINNs) and deep operator networks (DeepONets) are two such models. The former encodes the physical laws via the automatic differentiation, while the latter learns the hidden physics from data. Generally, the noisy and limited observational data as well as the over-parameterization in neural networks (NNs) result in uncertainty in predictions from deep learning models. In paper “MENG, X., YANG, L., MAO, Z., FERRAND
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Lasky, Fred D. "CLIA Final Rules for Quality Systems: Quality Assessment Issues and Answers. James O. Westgard, Sharon S. Ehrmeyer, and Teresa P. Darcy. Madison, WI: Westgard QC, Inc., 2004, 225 pp., softcover, $60.00 ($50.00 AACC members). ISBN 1-886958-20-3." Clinical Chemistry 51, no. 10 (2005): 1911–12. http://dx.doi.org/10.1373/clinchem.2005.047910.

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Gale, Julia F. W. "Specifying Lengths of Horizontal Wells in Fractured Reservoirs." SPE Reservoir Evaluation & Engineering 5, no. 03 (2002): 266–72. http://dx.doi.org/10.2118/78600-pa.

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Summary New methods have been developed to constrain optimal horizontal drilling distance in fractured reservoirs in which opening-mode fractures are dominant. Studies of opening-mode fractures in Austin Chalk outcrops and core reveal that open fractures are commonly clustered, with the distance between clusters ranging from approximately 1 m to more than 300 m, depending on the horizon in question. Aperture-size distributions follow power laws, and spacing-size distributions are negative logarithmic or log-normal. The aperture size at which fractures are open to fluids is variable and site-sp
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Koplik, J., and T. J. Lasseter. "Two-Phase Flow in Random Network Models of Porous Media." Society of Petroleum Engineers Journal 25, no. 01 (1985): 89–100. http://dx.doi.org/10.2118/11014-pa.

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Abstract To explore how the microscopic geometry of a pore space affects the macroscopic characteristics of fluid flow in porous media, we have used approximate solutions of the porous media, we have used approximate solutions of the Navier-Stokes equations to calculate the flow of two fluids in random networks. The model pore space consists of an array of pores of variable radius connected to a random number of nearest neighbors by throats of variable length and radius. The various size and connectedness distributions may be arbitrarily assigned, as are the wetting characteristics of the two
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Goswami, Ghritartha, and Sudip Basack. "A Laboratory Investigation on Flow Traits in Saturated Clay." Energy Saving and Efficiency, 2022, 12–16. http://dx.doi.org/10.55571/ese.2022.04013.

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The properties of flow through saturated soil are complicated. When the head is low, the flow is virtually linear, and Darcy's rule applies. The flow is nonlinear at the increasing head and is mathematically known as Forchheimer's flow. Several factors, including soil and fluid properties, influence the critical flow velocity for this transition and the corresponding Reynold's number. An experimental examination was carried out in this paper using a falling head permeameter and a locally accessible soft soil sample. The test findings were subjected to a careful analysis and interpretation to i
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Wang, Wenbo, Jie Cui, Yi Shan, Yadong Li, and Zhenkun Hou. "Numerical analysis of slurry flow in pile‐end grouting of the drilling with prestressed concrete pipes." Structural Concrete, November 2023. http://dx.doi.org/10.1002/suco.202200906.

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AbstractUnderstanding the diffusion law of cement slurry is the key to analyzing and evaluating the reinforcement effect of grouting. This study aimed to reveal the flow grouting mechanism of slurry in the reserved space between piles and soil and the penetration diffusion rule of slurry in the soil around the piles. For this purpose, the grouting slurry was regarded as a Newtonian fluid. The Navier–Stokes equations of fluid mechanics and renormalization group k–ε model were used to study the flow diffusion of slurry in the reserved space around a pile for grouting the drilling with prestresse
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41

Giunti, A. "Derivation of Darcy’s law in randomly perforated domains." Calculus of Variations and Partial Differential Equations 60, no. 5 (2021). http://dx.doi.org/10.1007/s00526-021-02040-3.

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AbstractWe consider the homogenization of a Poisson problem or a Stokes system in a randomly punctured domain with Dirichlet boundary conditions. We assume that the holes are spherical and have random centres and radii. We impose that the average distance between the balls is of size $$\varepsilon $$ ε and their average radius is $$\varepsilon ^{\alpha }$$ ε α , $$\alpha \in (1; 3)$$ α ∈ ( 1 ; 3 ) . We prove that, as in the periodic case (Allaire, G., Arch. Rational Mech. Anal. 113(113):261–298, 1991), the solutions converge to the solution of Darcy’s law (or its scalar analogue in the case of
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42

Wang, Li, Qiang Xu, and Zhifei Zhang. "Corrector estimates and homogenization errors of unsteady flow ruled by Darcy’s law." Mathematische Annalen, April 2, 2025. https://doi.org/10.1007/s00208-025-03150-5.

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Gireesha, Bijjanal J., and Lokeshappa Anitha. "Irreversibility analysis of micropolar nanofluid flow using Darcy–Forchheimer rule in an inclined microchannel with multiple slip effects." Heat Transfer, April 29, 2022. http://dx.doi.org/10.1002/htj.22571.

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44

Capone, Florinda, and Jacopo A. Gianfrani. "Effect of Vadasz term on the onset of convection in a Darcy–Brinkman anisotropic rotating porous medium in LTNE." Continuum Mechanics and Thermodynamics, April 1, 2023. http://dx.doi.org/10.1007/s00161-023-01212-0.

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AbstractIn the present paper, the effect of the Vadasz inertia term on the onset of convective motions for a Darcy–Brinkman model is investigated. It is proved that this term leads to the possibility for oscillatory convection to occur. Hence, convection can occur via either oscillatory or steady motions. It is proved analytically that the onset of steady convection is not affected by the Vadasz term, while oscillatory convection is favoured by it. Moreover, conditions to rule out the occurrence of oscillatory convection are determined numerically. The influence of rotation, interaction coeffi
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45

Deng, Yunchuan, Yinhua Wan, Shijie Kang, Jie Yang, and Hongdong Yu. "Study on the influence of ionic rare earth element transport pattern on the ecological environment of slopes and protection strategy." Applied Mathematics and Nonlinear Sciences, November 11, 2023. http://dx.doi.org/10.2478/amns.2023.2.01083.

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Abstract In this paper, firstly, the in situ leaching process of ionic rare earths and the mechanism of transforming effect of in situ leaching on the material composition and structure of the soil body of the slope were studied. Then, using ammonium sulfate as a leaching agent, the distribution law of rare piles of earth in minerals, water-leaching filtrate and acid-leaching filtrate in different leaching columns was analyzed, and the equilibrium relationship of each main substance in the process of elemental migration was calculated. At the same time, based on Darcy’s law to study the change
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Gireesha, B. J., P. Venkatesh, and D. O. Soumya. "Exploration of irreversibility and thermal motion of a nanoliquid with the Newton boundary condition by using the Darcy–Forchheimer rule." Heat Transfer, December 15, 2020. http://dx.doi.org/10.1002/htj.22023.

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47

Reddy, N. Keerthi, and M. Sankar. "Buoyant heat transfer of nanofluids in a vertical porous annulus: a comparative study of different models." International Journal of Numerical Methods for Heat & Fluid Flow, August 5, 2022. http://dx.doi.org/10.1108/hff-03-2022-0179.

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Purpose This study aims to numerically study the buoyant convective flow of two different nanofluids in a porous annular domain. A uniformly heated inner cylinder, cooled outer cylindrical boundary and adiabatic horizontal surfaces are considered because of many industrial applications of this geometry. The analysis also addresses the comparative study of different porous media models governing fluid flow and heat transport. Design/methodology/approach The finite difference method has been used in the current simulation work to obtain the numerical solution of coupled partial differential equa
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Athani, S., B. Metzger, Y. Forterre, and R. Mari. "Transient flows and migration in granular suspensions: key role of Reynolds-like dilatancy." Journal of Fluid Mechanics 949 (September 23, 2022). http://dx.doi.org/10.1017/jfm.2022.741.

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We investigate the transient dynamics of a sheared suspension of neutrally buoyant particles in pressure-imposed rheology configuration, subject to a sudden change in shear rate or external pressure. Discrete element method simulations show that, depending on the flow parameters (particle and system size, initial volume fraction), the early stress response of the suspension may differ strongly from the prediction of the suspension balance model based on the steady-state rheology. We show that a two-phase model incorporating the Reynolds-like dilatancy law of Pailha & Pouliquen (J. Fluid Me
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Adnan, Aneesa Nadeem, Sami Ullah Khan, Yasir Khan, Mehdi Akermi, and Rim Hassani. "Features of hydrocarbon liquid-based nanofluid under augmentation of parametric ranges in non-Darcy media." Modern Physics Letters B, November 25, 2024. http://dx.doi.org/10.1142/s0217984925500411.

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Transport properties of hydrocarbon liquid-based nanofluids in non-Darcy media have key significance in chemical, thermal and mechanical engineering. Therefore, the key focus of this research is to investigate the transport mechanism in nanofluid using Koo–Kleinstreuer–Li (KKL) thermal conductivity model in non-Darcy media under squeezing and permeable effects. The functional fluid is a homogenous mixture of Cu and kerosene. The problem formation is carried out via nanofluid-enhanced properties and similarity rules. Then numerical scheme was endorsed for the results analysis under increasing p
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Rasool, Ghulam, Anum Shafiq, Xinhua Wang, Ali J. Chamkha, and Abderrahim Wakif. "Numerical treatment of MHD Al2O3–Cu/engine oil-based nanofluid flow in a Darcy–Forchheimer medium: Application of radiative heat and mass transfer laws." International Journal of Modern Physics B, April 28, 2023. http://dx.doi.org/10.1142/s0217979224501297.

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This computational study was designed to examine the effect of alumina and copper on the flow of a nanofluid based on engine oil through a Darcy–Forchheimer porous media. The flow model incorporates the generalized radiative heat and mass transport rules. The Darcy–Forchheimer terms in the momentum equation and radiation term in the energy equation are integral parts of the governing nonlinear Navier–Stokes equations, which are two-dimensional partial differential equations. Under the constraint of the convective boundary, the stated PDEs are transformed into highly nonlinear versions of the o
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