Shale Dual-Porosity Dual-Permeability Poromechanical and Chemical Properties Extracted from Experimental Pressure Transmission Tests

Liu, Chao; Abousleiman, Younane N.

doi:10.1061/(asce)em.1943-7889.0001333

Cited by 18 publications

(8 citation statements)

References 96 publications

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“…In order to enforce crack irreversibility, we introduce a history function in Eq. 9, which is a pseudo-temporal maximum of the tensile part of the effective strain energy density ( ) stored in solid skeleton, i.e., (11) In addition, the undamaged solid matrix in is considered to be linear elastic, i.e., (12) and fluid flux in is described by Darcy's law:…”

Section: Governing Equations For Hydraulic Phase Field Fracturementioning

confidence: 99%

“…One possible modeling choice is to not explicitly model each defect and imperfects but instead incorporate the influences of these defects in the constitutive laws of an imaginary effective medium at a scale where a representative elementary volume exists. In this case, defects may be treated as a different pore system that may interact with the prime pore space through fluid mass exchanges, as shown in the multi-porosity and multipermeability models in the literature [6,11,12,33]. The upshot of this model is mainly the relatively simple numerical treatment.…”

Section: Introductionmentioning

confidence: 99%

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An immersed phase field fracture model in fluid-infiltrating porous media with evolving Beavers-Joseph-Saffman condition

Suh

Sun

2020

E3S Web Conf.

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This study presents a phase field model for brittle fracture in fluid-infiltrating vuggy porous media. While the state-of-the-art in hydraulic phase field fracture considers Darcian fracture flow with enhanced permeability along the crack, in this study, the phase field not only acts as a damage variable that provides diffuse representation of cracks or cavities, but also acts as an indicator function that separates the domain into two regions where fluid flows are governed by Stokes and Darcy equations, respectively. Since the phase field and its gradient can be respectively regarded as smooth approximations of the Heaviside function and Dirac delta function, our new approach is capable of imposing interfacial transmissibility conditions without explicit interface parametrizations. In addition, the interaction between solid and fluid constituents is modeled by adopting the concept of mixture theory, where the fluid velocities in Stokes and Darcy regions are considered as relative measures compared to the solid motion. This model is particularly attractive for coupled flow analysis in geological materials with complex microstructures undergoing brittle fracture often encountered in energy geotechnics problems, since it completely eliminates the needs to generate specific enrichment function, integration scheme, or meshing algorithm tailored for complex geological features.

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Section: Governing Equations For Hydraulic Phase Field Fracturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An immersed phase field fracture model in fluid-infiltrating porous media with evolving Beavers-Joseph-Saffman condition

Suh

Sun

2020

E3S Web Conf.

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“…Existing laboratory tests on shale samples showed unusual responses . We find that such experimental results cannot be explained by existing models without considering all of the above effects, but can be successfully captured by the dual‐poro‐chemo‐electro‐elastic model . It is crucial to have a large number of shale parameters to account for all of such effects.…”

Section: Introductionmentioning

confidence: 99%

“…51 We find that such experimental results cannot be explained by existing models without considering all of the above effects, but can be successfully captured by the dual-poro-chemo-electro-elastic model. 52,53 It is crucial to have a large number of shale parameters to account for all of such effects. However, although there are models for determining fracture permeability [54][55][56] and fracture stiffness, [57][58][59] there are hardly any techniques to measure all of these shale dual-porosity and chemo-electrical parameters.…”

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confidence: 99%

Responses of chemically active and naturally fractured shale under time‐dependent mechanical loading and ionic solution exposure

Liu

Hoang

Abousleiman

2017

Num Anal Meth Geomechanics

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SummaryIn this paper, the analytical dual-porosity dual-permeability poromechanics solution for saturated cylinders is extended to account for electrokinetic effects and material transverse isotropy, which simulate the responses of chemically active naturally fractured shale under time-dependent mechanical loading and ionic solution exposure.The solution addresses the stresses, fracture pore pressure, matrix pore pressure, fluid fluxes, ion concentration evolution, and displacements due to the applied stress, pore pressure, and solute concentration difference between the sample and the circulation fluid. The presented solution will not only help validate numerical simulations but also assist in calibrating and interpreting laboratory results on dual-porosity dual-permeability shale. It is recommended that the analytical solutions of radial and axial displacements be used to match the corresponding laboratory-recorded data to determine shale dual permeability and chemo-electrical parameters including membrane coefficient, ions diffusion coefficients, and electro-osmotic permeability.KEYWORDS chemically active, dual-poro-chemo-electro-elasticity, electro-osmotic permeability, natural fractures, shale | INTRODUCTIONThe recent boom in oil and gas production from shale reservoirs around the world has produced a tectonic shift in the global energy landscape. However, despite the promising potentials, there are still many challenges in understanding, analyzing, and predicting the behaviors of these unconventional reservoirs during drilling, stimulation, and production. Some of these challenges come from the complex geomechanics properties of shale. Most shales have higher degree of mechanical anisotropy than conventional reservoir rocks. In addition, shale displays swelling and shrinking behaviors when exposed to aqueous drilling and stimulation fluids because of the electrochemical interaction between its clay content and the solutions. Furthermore, many shales are naturally fractured, as illustrated in Figure 1, resulting in complex pore pressure distribution and evolution in the dual-porosity dual-permeability system. It is noted that shales with dual-porosity system that might result from different scales of pore structures 1 can be also modeled using the current approach.This study aims to investigate the behavior of dual-porosity dual-permeability shale rocks under laboratory conditions. The original dual-porosity dual-permeability concept for fractured/fissured rocks was proposed by Barenblatt et al. 2 The 2 overlapping continua, primary porosity and secondary porosity, possess their own fluid pressure fields. Warren and Root 3 proposed an idealized dual-porosity model, assuming that the secondary porosity consists of an orthogonal system of uniform fractures and that fluid can communicate between primary and secondary porosities, but not among the primary porosity elements. Later on,

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“…The parameters of rock properties of the input data are considered as estimated values. This method of estimating rock properties can be found in previous studies 53,54 . This paper presents the analytical solution at this stage.…”

Section: Introductionmentioning

confidence: 96%

Generalized solution to the anisotropic Mandel's problem

Liu

Abousleiman

2020

Num Anal Meth Geomechanics

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Summary Existing solutions to Mandel's problem focus on isotropic, transversely isotropic, and orthotropic materials, the last two of which have one of the material symmetry axes coincide with the vertical loading direction. The classical plane strain condition holds for all these cases. In this work, analytical solution to Mandel's problem with the most general matrix anisotropy is presented. This newly derived analytical solution for fully anisotropic materials has all the three nonzero shear strains. Warping occurs in the cross sections, and a generalized plane strain condition is fulfilled. This solution can be applied to transversely isotropic and orthotropic materials whose material symmetry axes are not aligned with the vertical loading direction. It is the first analytical poroelastic solution considering mechanical general anisotropy of elasticity. The solution captures the effects of material anisotropy and the deviation of the material symmetry axes from the vertical loading direction on the responses of pore pressure, stress, strain, and displacement. It can be used to match, calibrate, and simulate experimental results to estimate anisotropic poromechanical parameters. This generalized solution is capable of reproducing the existing solutions as special cases. As an application, the solution is used to study the responses of transversely isotropic and orthotropic materials whose symmetry axes are not aligned with the vertical loading direction. Examples on anisotropic shale rocks show that the effects of material anisotropy are significant. Mandel‐Cryer's effects are highly impacted by the degree of material anisotropy and the deviation of the material symmetry axes from the vertical loading direction.

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Shale Dual-Porosity Dual-Permeability Poromechanical and Chemical Properties Extracted from Experimental Pressure Transmission Tests

Cited by 18 publications

References 96 publications

An immersed phase field fracture model in fluid-infiltrating porous media with evolving Beavers-Joseph-Saffman condition

An immersed phase field fracture model in fluid-infiltrating porous media with evolving Beavers-Joseph-Saffman condition

Responses of chemically active and naturally fractured shale under time‐dependent mechanical loading and ionic solution exposure

Generalized solution to the anisotropic Mandel's problem

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