Low-Frequency Asymptotic Analysis of Seismic Reflection from a Fluid-Saturated Medium

Abstract

Abstract. A low-frequency asymptotic representation of the reflection of seismic signal from a fluid-saturated porous medium has been obtained.First, derivation of the main equations of the theory of poroelasticity and the pressure diffusion equation, which is routinely used in well-test analysis, has been reviewed. It has been observed that both models can be derived from the basic principles of filtration theory. In addition, Biot's tortuosity parameter has been related to the relaxation time in the dynamic Darcy's law.Second, the reflection of a low-frequency signal from a plane interface between elastic and elastic fluid-saturated porous media has been studied. An asymptotic scaling of the frequency-dependent component of the reflection coefficient has been obtained. Namely, it has been established that this component is asymptotically proportional to the square root of the product of the reservoir fluid mobility and the frequency of the signal. The dependence of this scaling on the dynamic Darcy's low relaxation time and the Biot's tortuosity factor has been investigated as well.

Application of synchrosqueezed wavelet transforms to estimate the reservoir fluid mobility

“…2004; Silin et al . , ; Silin and Goloshubin ). This formula opens an opportunity for using of low‐frequency seismic data to estimate the flow properties of the hydrocarbon‐saturated reservoirs in reflecting fluid storage space and monitoring hydrocarbon‐saturated reservoirs.…”

“…,b; Silin et al . , ). Furthermore, Silin and Goloshubin () extended the work to build an asymptotic model of seismic reflection from a permeable layer, and through the analysis of wave field characteristics of the fast and slow waves in low‐frequency domain, they found an asymptotic solution with a slightly different choice of the small parametre and abandoned the assumption of grain stiffness.…”

Elastic waves in thermoelastic saturated porous medium

“…Singh and Zorammuana [35] discussed the problem of incident longitudinal wave at a fibrereinforced thermoelastic half-space and obtained the amplitude and energy ratios of the reflected waves. Some problems of wave propagation in saturated porous materials and thermoelastic materials are also presented by Chadwick [8], Kumar and Co-workers [15][16][17][18][19], Markov [22,23], Sharma et al [26], Sharma [27][28][29], Silvin et al [31], Singh [32], Tajuddin and Reddy [36], Tomar and Arora [37].…”

Estimating quality factor from surface seismic data: A comparison of current approaches

“…Estimating the quality factor Q from seismic data has become an important issue (Castagna et al, 2003;Silin et al, 2006). The reasons for this are threefold.…”