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Security analysis of this Biot/squirt models for revolution propagation in saturated media that are porous

Jiawei Liu, Wen-An Yong, Stability analysis associated with Biot/squirt models for revolution propagation in saturated porous news, Geophysical Journal Global.

Abstract

This work is focused on the Biot/squirt (BISQ) models for revolution propagation in saturated porous news. We reveal that the models allow exponentially exploding solutions, as time would go to infinity, once the characteristic squirt-flow coefficient is negative or features a non-zero imaginary component. We additionally reveal that the coefficient that is squirt-flow have non-zero imaginary components for a few experimental parameters or even for low angular frequencies. Since the models are linear, the presence of such exploding solutions suggests uncertainty associated with the BISQ models. This outcome, for the time that is first offers a theoretical description associated with well-known empirical observation that BISQ model just isn’t dependable ( perhaps maybe perhaps not in line with Gassmann’s formula) at low frequencies. It calls for a reconsideration regarding the trusted BISQ concept. Having said that, we show that the 3-D isotropic BISQ model is stable once the squirt-flow coefficient is good. In specific, the initial Biot model is unconditionally stable in which the squirt-flow coefficient is 1.

1 INTRODUCTION

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