On: “Wave Propagation in heterogeneous, porous media: A velocity‐stress, finite difference method,” by N. Dai, A. Vafidis, and E. R. Kanasewich (March‐April 1995 GEOPHYSICS, p. 327–340).

Geophysics ◽  
1996 ◽  
Vol 61 (4) ◽  
pp. 1230-1231 ◽  
Author(s):  
Boris Gurevich
Keyword(s):  
Porous Media ◽  
Wave Propagation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Seismic Wave Propagation ◽  
Heterogeneous Porous Media ◽  
Two Dimensions ◽  
Seismic Modeling ◽  
Modeling Technology ◽  
Interesting Paper

In their interesting paper the authors present a new advanced approach to the simulation of seismic wave propagation in media described by Biot’s theory of dynamic poroelasticity in two dimensions. The algorithm developed can be used to accurately simulate the effect of dynamic poroelasticity on seismic wavefields over hydrocarbon reservoirs. In cases where this effect proves significant this algorithm can be incorporated in the seismic modeling technology.

An adaptive node-distribution method for radial-basis-function finite-difference modeling with optimal shape parameter

Geophysics ◽  
2021 ◽  
Vol 86 (1) ◽  
pp. T1-T18
Author(s):  
Peiran Duan ◽  
Bingluo Gu ◽  
Zhenchun Li ◽  
Zhiming Ren ◽  
Qingyang Li
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
Finite Difference ◽  
Stability Condition ◽  
Seismic Wave Propagation ◽  
Optimal Shape ◽  
Shape Parameters ◽  
Seismic Modeling ◽  
Distribution Method ◽  
Node Distribution

The radial-basis-function finite-difference (RBF-FD) method has been proven successful in modeling seismic-wave propagation. Node distribution is typically the first and most critical step in RBF-FD. Regarding the difficulties in seismic modeling, such as node distribution of complex geologic structures, we have designed an adaptive node-distribution method that can generate nodes automatically and flexibly as the computation proceeds with the adaptive grain-radius satisfied dispersion relation and stability condition of seismic-wave propagation. Our method consists of two novel points. The first one is that we adopt an adaptive grain-radius generation method, which can automatically provide a wider scope of grain radius in seismic modeling while satisfying the dispersion relation and stability condition; the second one is that the node-generation algorithm is built by a smoothed model, which significantly improves the modeling stability at a reduced computational cost. Excessive or undesirable shape parameters will create a very ill-conditioned problem. A set of optimal shape parameters for different numbers of neighbor nodes is found quantitatively by minimizing root-mean-square error functions. This optimization method enables us to achieve an improved meshfree modeling process with higher accuracy and practicability and fewer spurious diffractions caused by the transition of different sampling areas. Several numerical results verify the feasibility of our adaptive node-distribution method and the optimal shape parameters.

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