Finite‐difference seismic modeling in real time

1991 ◽  
Vol 10 (6) ◽  
pp. 49-52 ◽  
Author(s):  
Jacek Myczkowski ◽  
Doug McCowan ◽  
Irshad Mufti
Keyword(s):  
Finite Difference ◽  
Real Time ◽  
Seismic Modeling

A real-time sound rendering system based on the finite-difference time-domain algorithm

2014 ◽  
Vol 53 (7S) ◽  
pp. 07KC14 ◽  
Author(s):  
Tan Yiyu ◽  
Yasushi Inoguchi ◽  
Yukinori Sato ◽  
Makoto Otani ◽  
Yukio Iwaya ◽  
...  
Keyword(s):  
Finite Difference ◽  
Real Time ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Sound Rendering ◽  
Difference Time

A hybrid method applied to a 2.5D scalar wave equation

2008 ◽  
Vol 45 (12) ◽  
pp. 1517-1525
Author(s):  
P. F. Daley ◽  
E. S. Krebes ◽  
L. R. Lines
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Heterogeneous Medium ◽  
Integral Transform ◽  
P Wave ◽  
Acoustic Wave Equation ◽  
Seismic Modeling ◽  
Subsurface Structures ◽  
Spatial Dimensions ◽  
Finite Integral

The 3D acoustic wave equation for a heterogeneous medium is used for the seismic modeling of compressional (P-) wave propagation in complex subsurface structures. A combination of finite difference and finite integral transform methods is employed to obtain a “2.5D” solution to the 3D equation. Such 2.5D approaches are attractive because they result in computational run times that are substantially smaller than those for the 3D finite difference method. The acoustic parameters of the medium are assumed to be constant in one of the three Cartesian spatial dimensions. This assumption is made to reduce the complexity of the problem, but still retain the salient features of the approach. Simple models are used to address the computational issues that arise in the modeling. The conclusions drawn can also be applied to the more general fully inhomogeneous problem. Although similar studies have been carried out by others, the work presented here is new in the sense that (i) it applies to subsurface models that are both vertically and laterally heterogeneous, and (ii) the computational issues that need to be addressed for efficient computations, which are not trivial, are examined in detail, unlike previous works. We find that it is feasible to generate true-amplitude synthetic seismograms using the 2.5D approach, with computational run times, storage requirements, and other factors, being at reduced and acceptable levels.

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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