| 双变参数标量纵波方程正演模拟方法 |
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| 引用本文： | 吴国忱,刘杰,李青阳,杨凌云.双变参数标量纵波方程正演模拟方法[J].地球物理学报,2020,63(4):1607-1621. |
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| 作者姓名： | 吴国忱 刘杰 李青阳 杨凌云 |
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| 作者单位： | 1. 中国石油大学(华东)地球科学与技术学院, 青岛 266580;2. 海洋国家实验室海洋矿产资源评价与探测技术功能实验室, 青岛 266071;3. 中海石油(中国)有限公司深圳分公司, 深圳 518067 |
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| 基金项目： | 国家科技重大专项（2016ZX05024-001-008）资助. |
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| 摘 要： | 常见弹性波动理论的建立是基于介质均匀这一基本假设,实际介质的非均匀性非常普遍.为研究连续介质中波的传播特征,本文从弹性力学中建立弹性波动方程的三个基本方程出发,考虑连续介质弹性参数的空变特征,建立非均匀介质的弹性波动方程,利用Alkhalifah声学近似思想建立位移表征的纵波波动方程,利用本征值问题求解方法建立标量波频率-波数域传播算子,从而建立描述纵波传播的标量波方程,其中波函数为纵波位移的散度,不同于均匀介质标量波方程的波函数为位移势.随后推导含PML边界波动方程差分格式并建立不同模型数值模拟进行数值试算,与均匀假设标量波方程和变密度方程对比证明本方法的准确性和稳定性.
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| 关 键 词： | 连续介质 双变参数 标量波 正演模拟 |
| 收稿时间： | 2018-09-06 |
Forward modeling method of two-variable parameter scalar wave equation |
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| WU GuoChen,LIU Jie,LI QingYang,YANG LingYun.Forward modeling method of two-variable parameter scalar wave equation[J].Chinese Journal of Geophysics,2020,63(4):1607-1621. |
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| Authors: | WU GuoChen LIU Jie LI QingYang YANG LingYun |
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| Institution: | 1. School of Geosciences, China University of Petroleum(East China), Qingdao 266580, China;2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266071, China;3. Shenzhen Branch of CNOOC(China) Limited, Shenzhen 518067, China |
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| Abstract: | The establishment of the common elastic wave theory is based on the basic assumption that the medium is homogeneous, but the inhomogeneous is more common in actual media. To study the propagation characteristics of waves in inhomogeneous media, we start from the three basic equations of elastic waves which are established by elastic mechanics, and then construct the elastic wave equation of continuous media considering the space-varying characteristics of elastic parameters. Next the P-wave equation of displacement representation is established relying on the idea of Alkhalifah's acoustic approximation. We use the solution method of the eigenvalue problem to establish a scalar wave frequency-wavenumber domain propagation operator, and a scalar wave equation to describe P-wave propagation. The wave function is the divergence of the P-wave displacement, which is different from the wave function that is displacement potential in homogeneous media. Then we derive the wave equation difference format with the PML boundary condition and carry out numerical calculation on different models. Finally we prove the accuracy and stability of the proposed method by comparing with the scalar wave equation and the scalar wave equation with variable density under the homogeneous media assumption. |
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| Keywords: | Continuous media Two-variable parameter Scalar wave Forward modeling |
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