Article
Mechanics
Chao Liu
Summary: This paper extends existing quasi-static poroelastic solutions to the dual-porosity dual-permeability poroelastodynamics solution considering inertial effects. An Ohio sandstone sample with natural fractures is used to demonstrate the new solution, showing the largest displacement amplitude at low frequencies. The effects of fluid-solid coupling and natural fractures are compared among elastodynamics, poroelastodynamics, and dual-porosity poroelastodynamics solutions.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2021)
Article
Chemistry, Multidisciplinary
Shande Li, Shaowei Liu, Shuai Yuan, Jian Wen, Zhifu Zhang
Summary: An accurate sea ice model is crucial in Arctic acoustic research, and this study proposes a multilayered porous sea ice model based on Biot's theory. The influences of frequency, porosity, and layering on reflection coefficients are analyzed, revealing the close relationship between reflection coefficients and the layering and porosity of ice. The presented model synthesizes the layered characteristic and porous structure of ice, providing ideas for further sea ice modeling.
APPLIED SCIENCES-BASEL
(2021)
Article
Computer Science, Interdisciplinary Applications
Mirjam Lainer, Francesca Taddei, Gerhard Mueller
Summary: This article presents an extended Wave Based Method (WBM) to consider the influences of water and air phases within the pores, aiming to propose an efficient numerical method for dynamic analysis of fully and partially saturated soil layers. Biot's theory and the Berryman-Thigpen-Chin model (BTC model) are introduced, and a transmitting boundary condition is implemented to approximate the Sommerfeld radiation condition. Coupling conditions for dry, fully and partially saturated soil layers are formulated and incorporated into a weighted Galerkin approach. The accuracy of the WBM is evaluated through comparison with reference solutions, showing its capability in modeling different types of system behavior for fully saturated and layered halfspaces.
COMPUTERS & STRUCTURES
(2023)
Article
Mathematics, Applied
Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen
Summary: We introduce and analyze a hybridizable discontinuous Galerkin finite element method for the coupled Stokes-Biot problem. The method has the property that the discrete velocities and displacements satisfy the compressibility equations pointwise on the elements. We prove well-posedness of the discretization and provide a priori error estimates that demonstrate the method is free of volumetric locking. Numerical examples further demonstrate optimal rates of convergence for all unknowns and locking-free discretization.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Mechanics
Eman M. Hussein
Summary: This study uses the modified equation of generalized thermo-poroelasticity theory to investigate two-dimensional problems in a half-space composed of liquid-saturated porous elastic materials. Numerical results of displacement, fluid velocity, stress, and temperature are obtained and compared with a porous half-space without fluid.
MECHANICS OF SOLIDS
(2022)
Article
Geosciences, Multidisciplinary
Yu Zhang, Zhengyi Song, Yongkang Yao, Jianfeng Cai, Shuangxi Zhang, Conglin Zhang
Summary: Estimating the spatial porosity and permeability variation of slope site is difficult due to complexity of petrophysical modeling. The linkage between seismic wave velocity and porosity and permeability is established and validated using differential effective medium and self-consistent approximation. The results show that the porosity and permeability profiles based on self-consistent approximation are more reliable. This study provides a sound basis for further hydrological interpretation of seismic data and offers geotechnical suggestions for natural hazard mitigation.
JOURNAL OF APPLIED GEOPHYSICS
(2023)
Article
Mathematics, Applied
C. J. van Duijn, A. Mikelic, T. Wick
Summary: In this paper, the Mandel problem is considered in the context of nonlinear single-phase poroelasticity, with assumptions of slightly compressible fluid, and porosity and permeability as functions of volume strain. The well-posedness of the time-discrete incremental problem is proved by recasting the equations involving a pseudo-monotone operator, and the existence of a Lyapunov functional yielding a global time-discrete solution is demonstrated. Numerical investigation of the poroelastic structure verifies assumptions leading to Mandel's solution and shows consequences of proposed nonlinearities.
APPLICABLE ANALYSIS
(2022)
Article
Physics, Multidisciplinary
Hany H. Sherief, Eman M. Hussein
Summary: In this study, the generalized thermoporoelasticity theory is modified using fractional derivatives to analyze a two-dimensional problem with a known heat source. An analytical solution is obtained through Laplace transform, showing that porosity has a significant effect on velocity and pressure but a weaker effect on temperature. This research provides insights into the potential applications of thermoelastic materials and the use of fractional calculus in modeling polymer materials.
WAVES IN RANDOM AND COMPLEX MEDIA
(2021)
Article
Engineering, Geological
Shuqi Ma, Marte Gutierrez
Summary: This study determines the poroelastic properties of shale using oedometer and triaxial consolidation tests, showcasing simple procedures. Experimental results show good agreement in Biot coefficient alpha and drained bulk modulus K values between the two test methods. Additionally, the Skempton's coefficient B-value of the triaxial samples was experimentally measured, demonstrating consistency with theoretical predictions.
Article
Engineering, Geological
Qi Zhang, Ronaldo I. Borja
Summary: Closed-form expressions for poroelastic coefficients are derived for anisotropic materials exhibiting single and double porosity, using the principle of superposition to derive governing mass conservation equations. Numerical values of the poroelastic coefficients are calculated for granite and sandstone to guide modelers in determining these coefficients for full-scale modeling and simulations.
Article
Computer Science, Interdisciplinary Applications
Menel Rahrah, Fred Vermolen
Summary: Poroelasticity theory can be used to analyze the interaction between fluid flow and porous media deformation. Linear poroelasticity is accurate for small deformations but less accurate for moderate to large deformations, while large-deformation poroelasticity combines effective stress with a nonlinear continuity equation.
COMPUTATIONAL GEOSCIENCES
(2021)
Article
Engineering, Geological
Kai Wang, Yue Ma, Paul R. Howlett, Aizhong Ding, Xiao-Hui Chen
Summary: Constitutive coupled modeling has rapidly developed in recent decades, but few models consider dynamic porosity, making experimental validation challenging. In this study, a new constitutive model for unsaturated soil with dynamic porosity was developed and validated using experimental data, yielding good results. The sensitivity of the model to key parameters and the influence of porosity change on hydraulic and mechanical behavior were analyzed, showing significant effects of porosity change on soil behavior.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2022)
Article
Mechanics
Vu Ngoc Tru, Nguyen Van Long, Tran Minh Tu, Vu Thi Thu Trang
Summary: A new quasi-3D higher-order shear deformation theory is proposed to investigate the static behavior of functionally graded saturated porous (FGSP) plate on an elastic foundation. The governing equations are derived from the higher-order shear deformation theory with eleven unknowns and Biot's poroelasticity theory. Three different porosity distribution patterns of FGSP materials are considered. The results are compared with existing literature to validate the proposed model and parametric studies are conducted to explore the effects of various parameters.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Eman M. Hussein
Summary: The generalized thermo-poroelasticity theory was modified using fractional derivatives in this study, where a two-dimensional problem of axisymmetric temperature distribution in a half space was investigated. Laplace and Hankel transformation techniques were utilized to obtain analytical solutions and numerical results, revealing the impact of fractional parameters on the research findings. The critical implications of the research results for scientific and engineering applications were highlighted, particularly in the context of cylindrical areas with multiple mechanical parts production applications.
MECHANICS OF SOLIDS
(2021)
Article
Geochemistry & Geophysics
Enjiang Wang, Jose M. Carcione, Fabio Cavallini, Marco Botelho, Jing Ba
Summary: The study extends the thermoelasticity wave equation to porous media, including the LS and GL theories with relaxation times. It predicts multiple propagation modes and attenuation characteristics. This research contributes to a better understanding of wave propagation in high-temperature high-pressure fields.
SURVEYS IN GEOPHYSICS
(2021)
