Relevant bibliographies by topics / Mathematical model of fractures

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mathematical model of fractures'

Author: Grafiati
Published: 5 June 2025
Last updated: 16 July 2025

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Journal articles on the topic "Mathematical model of fractures"

1

Ji, Anzhao, Yufeng Wang, Youjie Xu, Guangsheng Zhang, and Xuefen Liu. "A Semianalytical Mathematical Model and Seepage Characteristics of Off-Center Fractured Vertical Wells with Multiwing Asymmetrical Fractures." Mathematical Problems in Engineering 2023 (April 21, 2023): 1–16. http://dx.doi.org/10.1155/2023/5226318.

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The complexity of formation conditions leads to multiwing asymmetric fractures after large-scale fracturing. According to a well pattern model and reservoir characteristics, a testing well is away from the center of the reservoir, and the existing well-test mathematical model cannot meet the field data analysis demand. Therefore, the mathematical model for the fractured wells with multiwing asymmetrical fractures is established. The model solution of the Laplace domain is obtained by the Laplace transform, nonuniform fracture discretization, and pressure drop superposition principle. The model
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Pan, Bin, and Yang Song Zhang. "Searching for the Shortest Seepage Path of 3D Network in Fractured Rock Masses." Applied Mechanics and Materials 580-583 (July 2014): 857–61. http://dx.doi.org/10.4028/www.scientific.net/amm.580-583.857.

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Fractured rock is a combination of rocks and fractures,the fractures which are ubiquitously distributed in fractured rock mass often constitute the flow and migration path of underground fluid and radionuclide.Discrete Fracture Network Model (DFN) was built with in-situ observations to evaluate the hydraulic conductivity tensor of rock masses.The fractures relation pattern with corresponding algorithm is given on the basis of computational geometric,and then the graph theory is employed as the mathematical model to represent the mutual positional relation of fractures.And then,with the use of
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Kasperovich, A. M., A. P. Shevelev, and A. Ya Gilmanov. "Non-isothermal mathematical model of blocking tecnogenic fractures." Vestnik of Samara University. Natural Science Series 30, no. 4 (2025): 101–15. https://doi.org/10.18287/2541-7525-2024-30-5-101-115.

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Nowadays, large oil fields have moved to the stage of declining production, to maintain reservoir pressure, it is necessary to apply flooding technologies. To maintain the previous rates of oil production, it is necessary to force selections by increasing the value of downhole pressure on the injection wells. However, the risks of exceeding the fracturing pressure are increasing, which can lead to the formation of technogenic fractures. An intensive increase in the fracture can lead to an increase in the risks of premature water reaching through it into the drainage zone of the producing wells
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Keshavarz, Alireza, Alexander Badalyan, Raymond Johnson, and Pavel Bedrikovetski. "Improving the efficiency of hydraulic fracturing treatment in CBM reservoirs by stimulating the surrounding natural fracture system." APPEA Journal 55, no. 1 (2015): 351. http://dx.doi.org/10.1071/aj14028.

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A method is proposed for enhancing the conductivity of micro-fractures and cleats around the hydraulically induced fractures in coal bed methane reservoirs. In this technique, placing ultra-fine proppant particles in natural fractures and cleats around hydraulically induced fractures at leak-off conditions keeps the coal cleats open during water-gas production, and this consequently increases the efficiency of hydraulic fracturing treatment. Experimental and mathematical studies for the stimulation of a natural cleat system around the main hydraulic fracture are conducted. In the experimental
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Chen, Zhiming, Xinwei Liao, Xiaoliang Zhao, Sanbo Lv, and Langtao Zhu. "A Semianalytical Approach for Obtaining Type Curves of Multiple-Fractured Horizontal Wells With Secondary-Fracture Networks." SPE Journal 21, no. 02 (2016): 538–49. http://dx.doi.org/10.2118/178913-pa.

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Summary In naturally fractured reservoirs, complex fracture systems can easily develop along a horizontal wellbore during hydraulic fracturing. In the fracture systems, multiple, discrete secondary fractures are connected to the multiple-fractured horizontal well (MFHW). Because of the fracture complexity, most studies about performance forecast of such MFHWs highly depend on numerical simulators. In this paper, a new semianalytical approach is proposed to overcome the challenge to analyze the pressure behavior of MFHWs in complex-fracture systems. First, a mathematical model for MFHWs with se
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Makeev, Maxim, Sergei Sokolov, and Anastasiya Kolmakova. "Numerical model of fracture formation in a coal seam." E3S Web of Conferences 330 (2021): 04009. http://dx.doi.org/10.1051/e3sconf/202133004009.

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The article discusses the recovery process of fracture system formation after hydraulic fracturing in a coal seam, based on the conducted seismic studies using modern mathematical software packages. Model concepts of the fractures system development under hydrodynamic impact on a rock mass are considered, which make it possible to assess the nature of fractures propagation.
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Bossie-Codreanu, Dimitrie, Paul R. Bia, and Jean-Claude Sabathier. "The "Checker Model," An Improvement in Modeling Naturally Fractured Reservoirs With a Tridimensional, Triphasic, Black-Oil Numerical Model." Society of Petroleum Engineers Journal 25, no. 05 (1985): 743–56. http://dx.doi.org/10.2118/10977-pa.

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Abstract This paper describes an approach to simulating the flow of water, oil, and gas in fully or partially fractured reservoirs with conventional black-oil models. This approach is based on the dual porosity concept and uses a conventional tridimensional, triphasic, black-oil model with minor modifications. The basic feature is an elementary volume of the fractured reservoir that is simulated by several model cells; the matrix is concentrated into one matrix cell and tee fractures into the adjacent fracture cells. Fracture cells offer a continuous path for fluid flows, while matrix cello ar
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Muratov, Maxim V., Polina V. Stognii, Igor B. Petrov, Alexey A. Anisimov, and Nazim A. Karaev. "The study of dynamical processes in problems of mesofracture layers exploration seismology by methods of mathematical and physical simulation." Radioelectronics. Nanosystems. Information Technologies. 13, no. 1 (2021): 71–78. http://dx.doi.org/10.17725/rensit.2021.13.071.

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The article is devoted to the study of the propagation of elastic waves in a fractured seismic medium by methods of mathematical modeling. The results obtained during it are compared with the results of physical modeling on similar models. For mathematical modeling, the grid-characteristic method with hybrid schemes of 1-3 orders with approximation on structural rectangular grids is used. The ability to specify inhomogeneities (fractures) of various complex shapes and spatial orientations has been implemented. The description of the developed mathematical models of fractures, which can be used
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Asalkhuzina, G. F., A. Ya Davletbaev, and R. I. Nuriev. "INTERFERENCE TEST TO FRACTURED INJECTION WELLS: MATHEMATICAL MODEL AND FIELD CASE." Oil and Gas Studies, no. 6 (December 1, 2017): 56–62. http://dx.doi.org/10.31660/0445-0108-2017-6-56-62.

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This article is devoted to examine the pressure behavior during well tests at the system with two finite-conductivity vertical hydraulic fractures. An approximate numerical solution of the problem is obtained, simu-lation of studies by interference test is conducted. This was done by correlating the amplitude of the pressure in the observation well at the distance between two fractures with the fracture flow conductivity. The established mathematical model is used to interpret field case which have been get by method of interference test on a deposit with the low permeable reservoir.
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Zou, Yi, Desheng Zhou, Xianlin Ma, Yenan Jie, Xiaoxiang Wang, and Hongxia Liu. "Optimization of Mathematical Function-Shaped Fracture Distribution Patterns for Multi-Stage Fractured Horizontal Wells." Energies 16, no. 13 (2023): 4987. http://dx.doi.org/10.3390/en16134987.

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A conventional oil and gas well does not have a natural production capacity, which necessitates a hydraulic fracturing operation. The effectiveness of the fracturing directly impacts the economic benefit of a single well. Among the various parameters, including fracture spacing, fracture width, and conductivity, fracture half-length is one of the main influencing factors on the productivity of horizontal wells. For conventional homogeneous reservoirs, research mainly focuses on fracture patterns with equal fracture lengths. However, in actual production processes, due to mutual interference an
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Dissertations / Theses on the topic "Mathematical model of fractures"

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Cheng, Yuqing. "A Mathematical Model to Predict Fracture Complexity Development and Fracture Length." Thesis, University of Louisiana at Lafayette, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10246182.

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<p> Hydraulic fracturing is a commonly used practice in stimulation treatment, especially in low-permeability formation. The fracture complexity usually took place in relation to the interaction between fractures and natural rock fabrics. Despite many studies regarding the production simulation, diagnostic methods, and mathematical models about fracture complexity, research about the local complexity development is still needed for optimized stimulation design. Aiming to predict the local complexity development and stimulation performance, a hierarchy model is designed to make the problem more
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陳幸福 and Xingfu Chen. "A ductile damage model based on endochronic theory and its applicationto ductile failure analysis." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31233004.

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Wilson, Amanda C. "Equivalent initial flaw size model development for turbine blades using in-service data." Thesis, Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/20006.

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Averill, Ronald C. "Nonlinear analysis of laminated composite shells using a micromechanics-based progressive damage model." Diss., This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-07282008-134259/.

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Bouteca, Maurice. "Fracturation hydraulique calcul de propagation d'une fracture induite dans un massif rocheux /." Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37603363t.

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Que, Norbert S. Civil &amp Environmental Engineering Faculty of Engineering UNSW. "Identification of cohesive crack fracture parameters using mathematical programming." Awarded by:University of New South Wales. School of Civil and Environmental Engineering, 2003. http://handle.unsw.edu.au/1959.4/19189.

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This thesis is concerned with the characterisation of the parameters governing the tension-softening relations of the cohesive crack model. Parameter identification is an important area in fracture mechanics as it enables the use of a fracture model for the simulation of fracture processes in structures. Research, however, has shown that such a task is not trivial and continues to pose challenging problems to experimentalists and analysts alike. This dissertation presents general and efficient indirect methods for the characterisation of mode I fracture parameters defining the cohesive crack m
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Hyun, Yunjung. "Multiscale anaylses of permeability in porous and fractured media." Diss., The University of Arizona, 2002. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu_e9791_2002_321_sip1_w.pdf&type=application/pdf.

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Dong, Chengli. "Acidizing of naturally-fractured carbonate formations." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3031042.

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黃小華 and Siu-wah Wong. "Predicition of fatigue crack propagation using strain energy density method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1989. http://hub.hku.hk/bib/B31209506.

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馮錦生 and Kam-sang Fung. "Fatigue crack propagation with strain energy density approach." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1989. http://hub.hku.hk/bib/B31209713.

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Books on the topic "Mathematical model of fractures"

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Adler, Pierre M. Fractures and Fracture Networks. Springer Netherlands, 1999.

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Adler, Pierre M. Fractures and fracture networks. Kluwer, 1999.

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Czechowski, Zbigniew. A kinetic model of the evolution of cracks. Polska Akademia Nauk, Instytut Geofizyki, 1994.

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Koh, Hyun M. A mixed Eulerian-Lagrangian model for the analysis of dynamic fracture. University of Illinois at Urbana-Champaign, 1986.

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Kolari, Kari. Damage mechanics model for brittle failure of transversely isotropic solids: Finite element implentation. VTT, 2007.

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E, Nelson E., U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., and Modeling and Computing Services (Firm), eds. Improved model for predicting J-R curves from Charpy data: Phase I final report. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1989.

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E, Nelson E., U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., and Modeling and Computing Services (Firm), eds. Improved model for predicting J-R curves from Charpy data: Phase I final report. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1989.

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Rasmussen, T. C. Fluid flow and solute transport modeling through three-dimensional networks of variably saturated discrete fractures. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1989.

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Loiseau, Philippe. Etude structurale et géostatistique des gneiss de la région du Cézallier, Massif central français: Modélisation tridimensionnelle de réseaux de fractures : application à l'écoulement des fluides. Editions du BRGM, 1988.

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Vepraskas, Michael J. Predicting contaminant transport along veins and fractures in saprolite above the water table. [Water Resources Research Institute of the University of North Carolina, 1995.

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Book chapters on the topic "Mathematical model of fractures"

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Dou, Zhi, Zhifang Zhou, Jinguo Wang, and Yong Huang. "Mathematical Model of Mass Transfer in Fractured Media." In Mass Transfer Dynamics of Contaminants in Fractured Media. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9187-7_5.

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Muratov, Maksim V., and Igor B. Petrov. "Application of Fractures Mathematical Models in Exploration Seismology Problems Modeling." In Smart Modeling for Engineering Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06228-6_11.

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Ploj Virtič, Mateja, Boris Aberšek, Mirko Čudina, and Aleš Belšak. "Developement of Mathematical Model for Detection of Cracks in Tooth Root Using an Adaptive Algorithm." In Fracture and Damage Mechanics V. Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/0-87849-413-8.793.

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Wang, Wei, Ting Hao Lu, and Bin Xiang Sun. "Mathematical Model for Shear Stress-Strain Relationship of Soil-Concrete Interface during Shear Fracture Process." In Advances in Fracture and Damage Mechanics VI. Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-448-0.881.

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Urata, Shingo, and Shaofan Li. "Simulation of Ductile Fracture in Amorphous and Polycrystalline Materials by Multiscale Cohesive Zone Model." In Mathematical Analysis of Continuum Mechanics and Industrial Applications II. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-6283-4_4.

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Darvishi, Mahziyar, Hooman Dadras, Mohammad Mahmoodi Gahrouei, Kiarash Tabesh, and Dmitry Timofeev. "A Mathematical Model for Bone Cell Population Dynamics of Fracture Healing Considering the Effect of Energy Dissipation." In Mathematical Applications in Continuum and Structural Mechanics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-42707-8_3.

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Li, Guanqun, Zhigang Wang, Zhiyong Sun, et al. "Mathematical Model and Experimental Analysis of Aging and Fracture of Composite Insulator Core Rods." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2024. https://doi.org/10.1007/978-981-97-8816-3_66.

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Dekui, Fu, Guo Xiao, Du Zhimin, et al. "A New Comprehensive Mathematical Model of Formation Damage in Fractured Gas Reservoirs with High H2S Content." In Acid Gas Injection and Related Technologies. John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118094273.ch22.

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De Arcangelis, Lucilla. "Statistical Models for Fracture." In Mathematics of Multiscale Materials. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1728-2_5.

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Radon, J. C. "Elasto-Plastic Fatigue Crack Growth: Mathematical Models and Experimental Evidence." In Nonlinear Fracture Mechanics. Springer Vienna, 1990. http://dx.doi.org/10.1007/978-3-7091-2758-2_6.

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Conference papers on the topic "Mathematical model of fractures"

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Hou, Tengfei, Litao Shang, Yehan Wang, et al. "A New Mathematical Model to Calculate the Multi-Layer Fracture Conductivity." In GOTECH. SPE, 2024. http://dx.doi.org/10.2118/219382-ms.

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Abstract Unlike conventional oil and gas reservoirs, shale reservoirs develop a variety of weak structural planes, including structural fractures, interlayer bedding fractures, bedding slip fractures and abnormal pressure fractures. These weak structural planes affect the morphology of artificial fractures during volume fracturing, especially the propagation of fracture height. However, for the coexistence of horizontal and vertical fracture case, the existing models fall short in accurately predicting proppant embedment and fracture conductivity. In this study, new mathematical models are con
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Bykov, Aleksander, Alexey Bychkov, Yan Nevmerzhitskiy, et al. "Mathematical Model for Describing the Growth of Mini-Fractures in a Fractured Medium." In SPE Russian Petroleum Technology Conference. Society of Petroleum Engineers, 2019. http://dx.doi.org/10.2118/196886-ms.

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Du, Kai, Zhenhua Rui, Birol Dindoruk, Tao Yang, and Shirish Patil. "A Mathematical Model and Numerical Simulation of Waterflood Induced Dynamic Fractures of Low Permeability Reservoirs." In SPE/IATMI Asia Pacific Oil & Gas Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/215288-ms.

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Abstract As a powerful technique for reservoir simulation, the embedded discrete fracture model (EDFM) has been widely used for unconventional fracture reservoirs. However, the appearance of dynamic fractures caused by fracture extension during well stimulation brings significant challenge to reservoir simulation. We presented a new numerical method to model the dynamic fracture performance for horizontal wells in unconventional reservoirs by using EDFM in this study. The proposed method includes a numerical model and a workflow to simulate water-oil flow in an unconventional fracture reservoi
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Bykov, Aleksander, Alexey Bychkov, Yan Nevmerzhitskiy, et al. "Mathematical Model for Describing the Growth of Mini-Fractures in a Fractured Medium (Russian)." In SPE Russian Petroleum Technology Conference. Society of Petroleum Engineers, 2019. http://dx.doi.org/10.2118/196886-ru.

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Winterfeld, Philip, Baojun Bai, and Yu-Shu Wu. "Using Preformed Particle Gels to Control Transport in Geothermal Reservoirs: Mathematical Modeling." In SPE Reservoir Simulation Conference. SPE, 2025. https://doi.org/10.2118/223913-ms.

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Abstract We are developing swellable Preformed Particle Gels (PPG), which can control preferential fluid and heat flow through fracture networks to increase the performance of EGS reservoirs. Part of this development is a mathematical model and numerical simulator to simulate PPG treatments by considering coupled thermal-hydraulic-mechanical effects, and gel swelling kinetics and plugging efficiency, from which an optimized gel treatment design and operation can be achieved. The starting point for our mathematical model is the TOUGH2-CSM formulation and code. The TOUGH2-CSM fluid and heat flow
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Gudala, Manojkumar, Zhen Xu, Zeeshan Tariq, Bicheng Yan, and Shuyu Sun. "Numerical Investigations on Induced Seismicity and Fracture Activation in Fractured Geothermal Reservoirs." In SPE EuropEC - Europe Energy Conference featured at the 84th EAGE Annual Conference & Exhibition. SPE, 2023. http://dx.doi.org/10.2118/214418-ms.

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Abstract In this study we developed mathematical model for thermo-hydro-mechanical process occurs within the geothermal reservoir with variable rock/fracture/fluid parameters. The influence of fracture network on the cold plume movement, pore pressure, changes in the rock/fracture effective stress under the same operating conditions. The injected fluid transport to extraction well from injection well within the interconnected fractures. In the same direction variation of the effective stress, pore pressure both in rock matrix and fractures was observed. Due to the variation of effective stress
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Oyarhossein, M., and M. B. Dusseault. "Probabilistic Distribution Model to Predict Fracture Height." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-1194.

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ABSTRACT: The Hydraulic Fracturing Simulation (HFS) fluid pressure gradient during propagation is almost always less than the rock mass horizontal minimum stress gradient. In models with independent lateral stresses, a fracture will grow more in a direction that requires less "work" needed to extend the fracture and increase its aperture. We study geometry of a fracture where a one-layer single fracture model is present to assess how fractures propagate. We use UDEC™, to model a 2D domain, and our results offer better understandings of fracture geometry. We then provide a probabilistic model t
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Shen, Rui, and Wei Xiong. "Mathematical Model of Fluid Exchange between Reservoirs and Hydraulic Fractures and Its Application." In 2010 International Conference on Computational Intelligence and Software Engineering (CiSE). IEEE, 2010. http://dx.doi.org/10.1109/cise.2010.5677144.

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Li, Jianting, Luming Shi, Lijia Yuan, et al. "Mathematical Model and Cluster NumberOptimization of Horizontal Well with Hydraulic Fractures in Shale Reservoir." In Latin America Unconventional Resources Technology Conference. Unconventional Resources Technology Conference, 2020. http://dx.doi.org/10.15530/urtec-2020-1064.

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Wang, F. Y., and H. Cheng. "A Mathematical Model of Water Spontaneous Imbibition into Oil-Saturated Fractures in Unconventional Reservoirs." In 82nd EAGE Annual Conference & Exhibition. European Association of Geoscientists & Engineers, 2020. http://dx.doi.org/10.3997/2214-4609.202010811.

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Reports on the topic "Mathematical model of fractures"

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Pokorny, Richard, and Pavel R. Hrma. Mathematical Model of Cold Cap?Preliminary One-Dimensional Model Development. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1012879.

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Buchanan, C. R., and M. H. Sherman. A mathematical model for infiltration heat recovery. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/767547.

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Preto, F. A mathematical model for fluidized bed coal combustion. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1985. http://dx.doi.org/10.4095/302616.

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McWilliams, Jennifer, and Melanie Jung. Development of a Mathematical Air-Leakage Model from MeasuredData. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/883786.

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Schneider, Michael L., and Richard E. Price. Temperature Analysis: Howard A. Hanson Reservoir, Washington. Mathematical Model Investigation. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada200228.

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Smith, F. G. III. Mathematical model of the Savannah River Site waste tank farm. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5788555.

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Smith, F. G. III. Mathematical model of the Savannah River Site waste tank farm. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/10131180.

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De Silva, K. N. A mathematical model for optimization of sample geometry for radiation measurements. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1988. http://dx.doi.org/10.4095/122732.

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Embid, P., and M. Baer. Mathematical analysis of a two-phase model for reactive granular material. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5233068.

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Christian Suharlim, Christian Suharlim. Mathematical model to reduce maternal and infant mortality in Southeast Asia. Experiment, 2014. http://dx.doi.org/10.18258/4103.

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