Accurate viscoelastic modeling by frequency‐domain finite differences using rotated operators
Accurate viscoelastic modeling by frequency‐domain finite differences using rotated operators
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DOI：
10.1190/1.1444472
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发表时间：
1998-10
期刊：
影响因子：
3.3
通讯作者：
I. Štekl;R. Pratt
中科院分区：
文献类型：
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作者：
I. Štekl;R. Pratt
粘弹性波动方程是一个积分-微分方程组，在使用时域有限差分方法时需要特殊的方法。在频域中，积分项很容易用复值弹性介质属性来表示。如果正问题或反问题需要对大量叠前震源道集进行建模或反演，则使用频域还有其他显著的优点。数值模拟对于地震数据来说是昂贵的，因为通常将震源和接收器分开的波长很多，这导致需要大量的网格点。使用频域方法的一个主要障碍是随之而来的存储需求。为了减少这些，我们在最大化精度的同时最小化了数值算子的空间范围。我们通过将早先发表的粘声学方法推广到粘弹性情况来实现这一点。这就需要制定两个新的Nume.
The viscoelastic wave equation is an integro‐differential equation that requires special methods when using time‐domain numerical finite‐difference methods. In the frequency domain, the integral terms are easily represented by complex valued elastic media properties. There are further significant advantages to using the frequency domain if the forward or the inverse problem requires modeling or inverting a large number of prestack source gathers. Numerical modeling is expensive for seismic data because of the large number of wavelenghths typically separating sources from receivers, which results in a need for a large number of grid points. A major obstacle to using frequency‐domain methods is the consequent storage requirements. To reduce these, we maximize the accuracy and simultaneously minimize the spatial extent of the numerical operators. We achieve this by extending earlier published methods introduced for the viscoacoustic case to the viscoelastic case. This requires the formulation of two new nume...