Modified Biot Elastic Coefficients in Poroelastic Solid

References

Berryman J G, Milton G W. Exact Results for Generalized Gassmann’s Equations in Composite Porous Media with Two Constituents. Geophysics, 1991, 56(12): 1950-1960.

Biot M A. General Theory of Three-Dimensional Consolidation. Journal of Applied Physics, 1941, 12(2): 155-164.

Biot M A. Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range. The Journal of the Acoustical Society of America, 1956, 28(2): 168-178.

Biot M A. Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range. The Journal of the Acoustical Society of America, 1956, 28(2): 179-191.

Biot M A. Mechanics of Deformation and Acoustic Propagation in Porous Media. Journal of Applied Physics, 1962, 33(4): 1482-1498.

Biot M A, Willis D G. The Elastic Coefficients of the Theory of Consolidation. Journal of Applied Mechanics, 1957, 24(4): 594-601.

Brown R J S, Korringa J. On the Dependence of the Elastic Properties of a Porous Rock on the Compressibility of the Pore Fluid. Geophysics, 1975, 40(4): 608-616.

Carcione J M, Gei D, Gurevich B, . On the Normal-Incidence Reflection Coefficient in Porous Media. Surveys in Geophysics, 2021, 42(4): 923-942.

Gassmann F. On Elasticity of Porous Media, in Classics of Elastic Wave Theory. Geophysik (Zürich), 1951, 17: 1-23. (in Danish with English Abstract)

Hart D J, Wang H F. Laboratory Measurements of a Complete Set of Poroelastic Moduli for Berea Sandstone and Indiana Limestone. Journal of Geophysical Research: Solid Earth, 1995, 100(B9): 17741-17751.

Hart D J, Wang H F. Variation of Unjacketed Pore Compressibility Using Gassmann’s Equation and an Overdetermined Set of Volumetric Poroelastic Measurements. Geophysics, 2010, 75(1): N9-N18.

Mavko G, Mukerji T, Dvorkin J. The Rock Physics Handbook, 2020, 3, Cambridge: Cambridge University Press

Prasad M, Manghnani M H. Effects of Pore and Differential Pressure on Compressional Wave Velocity and Quality Factor in Berea and Michigan Sandstones. Geophysics, 1997, 62(4): 1163-1176.

Thomsen L. On the Fluid Dependence of Seismic Anisotropy: Beyond Biot-Gassmann. Journal of Earth Science, 2018, 29(6): 1335-1339.

Thomsen L. A Logical Error in Gassmann Poroelasticity. Geophysical Prospecting, 2023, 71(4): 649-663.

Thomsen L. Comments On: “Numerical Validation of Gassmann’s Equations” (Yury Alkhimenkov, 2023, Geophysics, 88, No. 4, A25–A29). Geophysics, 2024, 89(2): X1-X4.

Winkler K W. Dispersion Analysis of Velocity and Attenuation in Berea Sandstone. Journal of Geophysical Research: Solid Earth, 1985, 90(B8): 6793-6800.

Xie T Y, Lu J, Li M Q, . Approximate Equations of PP-, PS1- and PS2-Wave Reflection Coefficients in Fluid-Filled Monoclinic Media. Geophysical Journal International, 2022, 230(2): 1215-1238.

Yang C, Wang Y. Reflection and Transmission Coefficients of Poroelastic Thin-Beds. Journal of Geophysics and Engineering, 2018, 15(5): 2209-2220.

Yang C, Stovas A, Wang Y, . Reflections and Transmissions from a Porous Layer Sandwiched between Seawater and Solid Substrate. Ocean Engineering, 2023, 288 116075

Yang C, Stovas A, Wang Y, . Normal Incidence Reflection Coefficient Approximation at an Isotropic-Poroelastic Interface. Geophysical Prospecting, 2023, 1: 1-9.

Yang C, Stovas A, Wang Y, . Dissipation Factor and Phase Velocity Approximate Formulas for P-Waves in Fluid-Saturated Porous Media. Waves in Random and Complex Media, 2023, 1: 1-18.