Finite-difference modeling of elastic wave propagation: A nonsplitting perfectly matched layer approach

Finite-difference modeling of elastic wave propagation: A nonsplitting perfectly matched layer approach
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DOI:
10.1190/1.1620648
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发表时间:
2003-09
期刊:
影响因子:
3.3
通讯作者:
Tsili Wang;Xiaoming Tang
Tsili Wang;Xiaoming Tang
中科院分区:
地球科学2区
文献类型:
--
作者:
Tsili Wang;Xiaoming Tang

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本文提出了一种非分裂完全匹配层(NPML)方法,用于弹性波传播的有限差分模拟。与传统的分裂场方法相比,新的配方解决了边界和内部区域的同一组方程。非分裂公式简化了完美匹配层(PML)算法,而不牺牲PML的准确性。此外,NPML所需的计算机存储量几乎与分裂场方法相同。使用NPML,我们计算了随钻测井环境中的偶极和四极波形。我们表明,偶极源产生一个强大的管道弯曲波,扭曲感兴趣的地层到达。然而,四极源产生干净的地层到达。这一结果表明,四极源比偶极源更有利于随钻剪切速度测量。
In this paper, we present a nonsplitting perfectly matched layer (NPML) method for the finite-difference simulation of elastic wave propagation. Compared to the conventional split-field approach, the new formulation solves the same set of equations for the boundary and interior regions. The nonsplitting formulation simplifies the perfectly matched layer (PML) algorithm without sacrificing the accuracy of the PML. In addition, the NPML requires nearly the same amount of computer storage as does the split-field approach. Using the NPML, we calculate dipole and quadrupole waveforms in a logging-while-drilling environment. We show that a dipole source produces a strong pipe flexural wave that distorts the formation arrivals of interest. A quadrupole source, however, produces clean formation arrivals. This result indicates that a quadrupole source is more advantageous over a dipole source for shear velocity measurement while drilling.