Third-order AVO inversion for lamé parameter based on inverse operator estimation algorithm

Third-order AVO inversion for lamé parameter based on inverse operator estimation algorithm
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基于逆算子估计算法的lamé参数三阶AVO反演

DOI:
10.1016/j.petrol.2018.01.044
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发表时间:
2018-05
影响因子:
--
通讯作者:
Zhao-Yun Zong
Zhao-Yun Zong
中科院分区:
工程技术2区
文献类型:
--
作者:
Guang-Sen Cheng;Xing-Yao Yin;Zhao-Yun Zong

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振幅随炮检距变化(AVO)正演模拟中经常使用各种线性化Zoeppritz近似。然而,它们通常受到弹性参数的限制,且性能对比度较弱。当采用线性近似方程时,层与层之间的高对比度情况将导致较大的误差。针对这一问题,本文导出了更为精确的三阶Zoeppritz速度和密度近似方程。参数敏感性分析表明,速度和密度的三阶近似方程对横波速度极不敏感,不利于非线性AVO反演。考虑到弹性参数的敏感性和反演效果不好的问题,推导了Lamé参数的三阶近似方程。在此基础上,提出了一种直接反演方法(逆算子估计算法)用于非线性AVO反演。L1范数约束被认为是提高非线性反演过程中的稳定性和效率。综合算例验证了该方程和反演方法的适用性和可行性。现场资料实例表明,反演结果与测井曲线吻合较好。
Various linearized Zoeppritz approximations are often used in the forward modeling of amplitude variation with offset (AVO). However, they are usually limited by the elastic parameters with weak properties contrast. The high contrast situations between layers will cause big errors when linear approximate equations are used. Given this problem, the more precise third-order Zoeppritz approximate equation for velocity and density is derived in this study. Parameter sensitivity analysis illustrates that the third-order approximate equation for velocity and density is not favorable for nonlinear AVO inversion because the equation is extremely insensitive to S-wave velocity. In consideration of the sensitivity of elastic parameters and the poor inversion results, we derived the third-order approximate equation for Lamé parameter. A direct inversion method (Named as inverse operator estimation algorithm) is further used for nonlinear AVO inversion. The L1 norm constraint is considered to improve stability and efficiency during the nonlinear inversion process. The suitability and feasibility of the equation and inversion method can be demonstrated by the synthetic examples. Field data examples show that the inversion results have a good agreement with logging curves.
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