Articles | Volume 16, issue 10
https://doi.org/10.5194/se-16-1227-2025
https://doi.org/10.5194/se-16-1227-2025
Research article
 | 
29 Oct 2025
Research article |  | 29 Oct 2025

Revisiting Gassmann-type relationships within Biot poroelastic theory

Yury Alkhimenkov and Yury Y. Podladchikov

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Cited articles

Alkhimenkov, Y.: Numerical validation of Gassmann’s equations, Geophysics, 88, A25–A29, 2023. a, b, c, d, e, f, g, h
Alkhimenkov, Y.: Reply to the Discussion, Geophysics, 89, X5–X7, 2024. a, b, c, d
Alkhimenkov, Y.: Numerical Evaluation of Brown and Korringa (1975) and Gassmann's Equations in Multi-Mineral Porous Media, Geophysics, 90, 1–37, 2025. a, b, c
Alkhimenkov, Y. and Podladchikov, Y.: Biot_Gassmann, Zenodo [code], https://doi.org/10.5281/zenodo.13942952, 2024. a, b
Alkhimenkov, Y. and Podladchikov, Y.: Revisiting Gassmann-Type Relationships within Biot Poroelastic Theory – Symbolic Derivations and Thermodynamic Validation, Zenodo [code], https://doi.org/10.5281/zenodo.15777522 (last access: 30 June 2025), 2025. a, b, c
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Short summary
We present a thermodynamically consistent derivation of extended Biot poroelasticity, showing that Gassmann, Brown–Korringa, and related models emerge as special cases. Our formulation clarifies the conditions under which Gassmann’s relation holds and extends it by incorporating off-diagonal Hessian terms. Symbolic Maple code with consistency checks ensures full transparency, reproducibility, and accessibility for further research.
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