Strip load on transversely isotropic elastic double porosity media with strong permeability contrast
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Abstract
In double porosity media, fluid could flow through the distributed micro-fractures at a larger scale as well as through the nanopores of the organic matrix at a smaller scale, while fluid mass could be transferred between them. Besides, the solid deformation acts as an important coupling term and leads to the two-way coupled process. However, these processes are not well presented in previous studies. In this work, a new coupled modeling approach was proposed for saturated double porosity media with strong permeability con-trast. Specifically, the transversely isotropic equivalent fracture permeability is considered for the preferentially oriented micro-fractures at the micro-scale or meso-scale; while at the nano-scale, the non-Darcy flow and mass transfer equations are employed to consider the interaction between fluid particles and the solid pore wall. Finally, the stabilized finite element method is developed to investigate the settlement and pressure dissipation behaviors of the strip load problem.
Cited as: Zhang, Q. Strip load on transversely isotropic elastic double porosity media with strong permeability contrast. Advances in Geo-Energy Research, 2021, 5(4): 353-364, doi: 10.46690/ager.2021.04.02
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Bai, M., Elsworth, D., Roegiers, J. C. Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs. Water Resources Research, 1993, 29(6): 1621-1633.
Baker, J. W., Chen, Y. Ground motion spatial correlation fitting methods and estimation uncertainty. Earthquake Engineering and Structural Dynamics, 2020, 49(15): 1662-1681.
Barenblatt, G., Zheltov, I., Kochina, I. Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. Journal of Applied Mathematics and Mechanics, 1960, 24(5): 1286-1303.
Chen, Y., Baker, J. W. Spatial correlations in cybershake physics-based ground-motion simulations. Bulletin of the Seismological Society of America, 2019, 109(6): 2447-2458.
Chen, Y., Baker, J. W. Community detection in spatial correlation graphs: Application to non-stationary ground motion modeling. Computers and Geosciences, 2021, 154: 104779.
Chen, Y., Baker, J. W., Bradley, B. A. Nonstationary spatial correlation in new zealand strong ground-motion data. Earthquake Engineering and Structural Dynamics, 2021, 1-20.
Cheng, A. H. D. Poroelasticity. New York, USA, Springer, 2016.
Coussy, O. Poromechanics. Chichester, UK, John Wiley and Sons Ltd, 2004.
Cui, Y., Lu, C., Wu, M., et al. Review of exploration and production technology of natural gas hydrate. Advances in Geo-Energy Research, 2018, 2(1): 53-62.
Geiger, S., Dentz, M., Neuweiler, I. A novel multirate dual-porosity model for improved simulation of fractured and multiporosity reservoirs. SPE Journal, 2013, 18(4): 670-684.
Hansbo, S. Aspects of vertical drain design: Darcian or non-Darcian flow. Géotechnique, 1997, 47(5): 983-992.
Kazemi, H., Merrill, L., Porterfield, K., et al. Numerical simulation of water-oil flow in naturally fractured reservoirs. Society of Petroleum Engineers Journal, 1976, 16(6): 317-326.
Khalili, N., Valliappan, S., Wan, C. F. Consolidation of fissured clays. Géotechnique, 1999, 49(1): 75-89.
Kim, J., Sonnenthal, E. L., Rutqvist, J. Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials. International Journal for Numerical Methods in Engineering, 2012, 92(5): 425-456.
Lemonnier, P., Bourbiaux, B. Simulation of naturally fractured reservoirs. State of the art: Part 2-matrix-fracture transfers and typical features of numerical studies. Oil and Gas Science and Technology-Revue de l’Institut Français du Pétrole, 2010, 65(2): 263-286.
Lewis, R. W., Schrefler, B. A. The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media. Chichester, UK, John Wiley and Sons Ltd, 1998.
Li, D., Zha, W., Liu, S., et al. Pressure transient analysis of low permeability reservoir with pseudo threshold pressure gradient. Journal of Petroleum Science and Engineering, 2016, 147: 308-316.
Li, Z., Ripepi, N., Chen, C. Using pressure pulse decay experiments and a novel multiphysics shale transport model to study the role of Klinkenberg effect and effective stress on the apparent permeability of shales. Journal of Petroleum Science and Engineering, 2020, 189: 107010.
Liao, D., Yang, Z. Effect of fabric anisotropy on bearing capacity and failure mode of strip footing on sand: An anisotropic model perspective. Computers and Geotechnics, 2021, 138: 104330.
Liao, D., Yang, Z., Xu, T. J2 -deformation-type soil model coupled with state-dependent dilatancy and fabric evolution: Multiaxial formulation and FEM implementation. Computers and Geotechnics, 2021, 129: 103674.
Ranjbar, E., Hassanzadeh, H. Matrix-fracture transfer shape factor for modeling flow of a compressible fluid in dual-porosity media. Advances in Water Resources, 2011, 34(5): 627-639.
Rutqvist, J., Stephansson, O. The role of hydromechanical coupling in fractured rock engineering. Hydrogeology Journal, 2003, 11: 7-40.
Sarma, P., Aziz, K. New transfer functions for simulation of naturally fractured reservoirs with dual porosity models. SPE Journal, 2006, 11(3): 328-340.
Shao, J., Zhang, Q., Sun, W., et al. Numerical simulation on non-Darcy flow in a single rock fracture domain inverted by digital images. Geofluids, 2020a, 2020: 8814327.
Shao, J., Zhang, Q., Wu, X., et al. Investigation on the water flow evolution in a filled fracture under seepage-induced erosion. Water, 2020b, 12(11): 3188.
Shao, J., Zhang, Q., Zhang, W., et al. Effects of the borehole drainage for roof aquifer on local stress in underground mining. Geomechanics and Engineering, 2021, 24(5): 479-490.
Tecklenburg, J., Neuweiler, I., Carrera, J., et al. Multi-rate mass transfer modeling of two-phase flow in highly heterogeneous fractured and porous media. Advances in Water Resources, 2016, 91: 63-77.
Villamor Lora, R., Ghazanfari, E., Asanza Izquierdo, E. Geomechanical characterization of Marcellus shale. Rock Mechanics and Rock Engineering, 2016, 49(9): 3403-3424.
Wang, Z., Zhang, Q., Shao, J., et al. New type of similar material for simulating the processes of water inrush from roof bed separation. ACS Omega, 2020, 5(47): 30405-30415.
Warren, J., Root, P. The behavior of naturally fractured reservoirs. Society of Petroleum Engineers Journal, 1963, 3(3): 245-255.
Xiao, S., Yue, Z. Axisymmetric BEM analysis of one-layered transversely isotropic halfspace with cavity subject to external loads. Engineering Analysis with Boundary Elements, 2020, 121: 91-103.
Yan, X., Huang, Z., Zhang, Q., et al. Numerical investigation of the effect of partially propped fracture closure on gas production in fractured shale reservoirs. Energies, 2020, 13(20): 5339.
Yan, X., Sun, H., Huang, Z., et al. Hierarchical modeling of hydromechanical coupling in fractured shale gas reservoirs with multiple porosity scales. Energy and Fuels, 2021, 35(7): 5758-5776.
Yang, Y., Yu, H., Yuan, Y., et al. 1 g Shaking table test of segmental tunnel in sand under near-fault motions. Tunnelling and Underground Space Technology, 2021, 115: 104080.
Ye, D., Liu, G., Gao, F., et al. A multi-field coupling model of gas flow in fractured coal seam. Advances in Geo-Energy Research, 2021, 5(1): 104-118.
Zhang, Q. Hydromechanical modeling of solid deformation and fluid flow in the transversely isotropic fissured rocks. Computers and Geotechnics, 2020, 128: 103812.
Zhang, Q., Chen, Y., Yang, Z., et al. Multi-constitutive neural network for large deformation poromechanics problem. Paper 132 Presented at Third Workshop on Machine Learning and the Physical Sciences (NeurIPS 2020), Vancouver Convention Centre, Vancouver, BC, Canada, 11 December, 2020.
Zhang, Q., Wang, Z. Spatial prediction of loose aquifer water abundance mapping based on a hybrid statistical learning approach. Earth Science Informatics, 2021, 14: 1349-1365.
Zhang, Q., Yan, X., Shao, J. Fluid flow through anisotropic and deformable double porosity media with ultra-low matrix permeability: A continuum framework. Journal of Petroleum Science and Engineering, 2021, 200: 108349.
Zhang, W., Mehrabian, A. Poroelastic solution for the nonlinear productivity index of wells in stress-sensitive reservoir rocks. SPE Journal, 2020, 26(1): 68-82.
Zhang, W., Mehrabian, A. Nonlinear and non-local analytical solution for Darcy-Forchheimer flow through a deformable porous inclusion within a semi-infinite elastic medium. Journal of Fluid Mechanics, 2021, 91: A49.
Zhao, L., Jiang, H., Wang, H., et al. Representation of a new physics-based non-Darcy equation for low-velocity flow in tight reservoirs. Journal of Petroleum Science and Engineering, 2020, 184: 106518.
Zhu, X., Zhang, Q., Zhang, W., et al. Experimental study on the basic properties of a green new coal mine grouting reinforcement material. ACS Omega, 2020, 5(27): 16722-16732.
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