| 等价各向异性介质一阶拟声波 方程正演模拟及其效率分析 |
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| 引用本文： | 杨富森,李振春,王小丹,张凯,刘成斋.等价各向异性介质一阶拟声波 方程正演模拟及其效率分析[J].地震学报,2015,37(4):648-660. |
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| 作者姓名： | 杨富森 李振春 王小丹 张凯 刘成斋 |
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| 作者单位： | 1.中国山东青岛 266580 中国石油大学(华东)地球科学与技术学院 |
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| 基金项目： | 国家自然科学基金，国家高技术研究发展计划(863)课题，山东省自然科学基金(ZR2013DL012)联合资助． |
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| 摘 要： | 为克服各向异性弹性波动方程正演模拟的局限，本文研究了各向异性介质拟声波方程的交错网格有限差分数值解法.首先，从VTI介质胡克定律和qP-qSV波频散关系两种思路出发，通过声假设近似，给出了两种不同形式的VTI介质一阶拟声波方程，并通过引入波场的伪速度分量，推导了一种新的VTI介质一阶应力-速度方程，并通过旋转坐标系将其推广到TTI介质中；其次，构造了一阶拟声波方程的交错网格高阶有限差分格式，并推导了相应的PML边界条件；最后，对本文方法中固有的qSV人为干扰波的产生机制和压制方法进行了简单讨论.数值结果表明:3种一阶拟声波方程在运动学和动力学上是等价的，相对于各向异性弹性波正演模拟，其节省了内存，提高了计算效率；各向异性因素会影响反射波旅行时和振幅等波场特征，在后续的处理、反演和解释中不可忽略；VTI介质HESS模型的逆时偏移结果也验证了本文方法的合理性.
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| 关 键 词： | 各向异性介质 一阶拟声波 PML边界条件 交错网格 正演模拟 qSV人为干扰波 |
| 收稿时间： | 2014-07-24 |
Equivalent anisotropic first-order pseudo-acoustic wave equations modeling and its efficiency analysis |
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| Yang Fusen,Li Zhenchun,Wang Xiaodan,Zhang Kai,Liu Chengzhai.Equivalent anisotropic first-order pseudo-acoustic wave equations modeling and its efficiency analysis[J].Acta Seismologica Sinica,2015,37(4):648-660. |
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| Authors: | Yang Fusen Li Zhenchun Wang Xiaodan Zhang Kai Liu Chengzhai |
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| Affiliation: | 1.School of Geosciences, China University of Petroleum, Shandong Qingdao 266580, China2.Geophysical Research Institute of SINOPEC Shengli Oilfield, Shandong Dongying 257022, China |
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| Abstract: | In order to overcome the limitations of anisotropic elastic wave equations modeling, this paper studied anisotropic pseudo-acoustic wave modeling by using staggered-grid finite-difference method. Starting from two different ideas, i.e., Hooke’s law and qP-qSV dispersion relation for VTI media, two first-order pseudo-acoustic wave equations in two forms for VTI media are given. Meanwhile, a new VTI first-order stress-velocity equations is derived through introducing the pseudo-velocity components of the wavefields, and then they are generalized to TTI media through the rotated coordinate system. Then the staggered-gird high-order finite-difference forms of the first-order pseudo-acoustic wave equations and the corresponding PML boundary condition are deduced. Finally, the inherent qSV-wave artifact generating mechanism and suppression method are discussed briefly. Numerical results show that the three first-order pseudo-acoustic wave equations are equivalent in kinematics and dynamics. Compared with anisotropic elastic wave modeling, they can save computational memory and enhance the efficiency. Anisotropic factor can affect the travel-time and amplitude of the reflection wave so we cannot ignore them in subsequent processing，inversion and interpretation. The reverse-time migration results of VTI-HESS model also validate the method proposed in this paper. |
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| Keywords: | anisotropic media first-order pseudo-acoustic wave PML boundary condition staggered-grid modeling qSV-wave artifact |
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