Article

Direct and inverse dynamic quasilinear problems of poroelasticity

Kholmatzhon ImomnazarovInstitute of Computational Mathematics and Mathematical Geophysics, SA RAS, RussiaA. E. KholmuradovInstitute of Computational Mathematics and Mathematical Geophysics, SA RAS, RussiaNosir DilmuradovInstitute of Computational Mathematics and Mathematical Geophysics, SA RAS, Russia

AIP conference proceedingsjournal2021en

ABI

Abstract

A fundamental solution to the system of equations of the poroelasticity theory in the nondissipative case is obtained. It is shown that when the porosity disappears, the obtained fundamental solution goes over to the fundamental solution of the system of equations of the theory of elasticity. The inverse problem of determining a distributed source from the system of equations of the theory of poroelasticity in terms of the free surface vibration mode is also considered. Using the method of spherical means, a formula for solutions of the considered inverse dynamic problem of the theory for poroelasticity is obtained.

Topics

Climate change and permafrost Elasticity and Wave Propagation Thermoelastic and Magnetoelastic Phenomena

Identifiers

DOI: 10.1063/5.0057154

Citations and references

Cited by 6 6 references

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