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1 2020

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Frequency domain elastic wave modeling for polygonal topography using rotated average derivative diference operators

Li Zheng, Chen Jing-Bo, Cao Jian

Acta Geophysica

2020

Vol. 68, no. 5

1387--1409

Modeling of seismic wave propagation in areas with irregular topography is an important topic in the feld of seismic exploration. As a popular numerical method for seismic modeling, the fnite diference method is nontrivial to consider the irregular free surface. There have been extensive studies on the time-domain fnite diference simulations with irregular topography; however, the frequency-domain fnite diference simulation considering irregular topography is relatively less studied. The average-derivative approach is an optimal numerical simulation scheme in the frequency domain, which can produce accurate modeling results at a relatively low computational cost. Nevertheless, this approach can only deal with the modeling problems with a fat free surface. To address this issue, we design a new frequency-domain fnite diference scheme by introducing the polygonal representation of topography into the average-derivative method. The irregular topog raphy is represented by line segments with various slopes. An extension of the conventional average-derivative diference operator in the local rotated coordinate system is used for formulating the spatial derivatives aligned with the topographic line segments. As a result, new average-derivative diference schemes are obtained for irregular topography. In this way, the average-derivative optimal method is generalized to the model with irregular topography. Numerical examples show the efectiveness of the presented method.