基于混合快速共轭梯度法的有限差分对比源反演

王豆豆1,2 王守东2 邹少峰1 高艳霞1 刘晗1

(1.中国石化石油物探技术研究院, 江苏南京 211103)
(2.中国石油大学(北京)油气资源与探测国家重点实验室, 北京 102249)

【摘要】有限差分对比源反演(FDCSI)是一种解决逆散射问题的方法,该方法在反演中背景模型保持不变,只进行一次全正演计算,减少了计算量。FDCSI将逆散射问题转化为优化问题,采用常规共轭梯度法优化目标泛函,但收敛速度较慢,影响反演效率。为此,在研究频率域声波方程有限差分对比源反演方法的基础上,提出了基于混合快速共轭梯度法的有限差分对比源反演方法,提高了反演效率。混合快速共轭梯度法是在快速迭代收缩阈值算法基础上改进得到的优化方法,该方法适用于有限差分对比源反演,在不增加单次迭代计算量的基础上加速目标泛函收敛,保证了对比源反演算法的快速稳定收敛。

【关键词】 逆散射; 对比源反演; 频率域声波方程; 快速迭代收缩阈值算法; 混合快速共轭梯度法;

【DOI】

【基金资助】 国家科技重大专项“不同缝洞储集体地震识别与预测技术”(2016ZX05014-001) 国家科技重大专项“宽方位地震数据规则化与有效信号增强方法研究与应用”(2016ZX05024-001-004)

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This Article

ISSN:1000-7210

CN: 13-1095/TE

Vol 55, No. 02, Pages 351-359+231

April 2020

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Article Outline

摘要

  • 0 引言
  • 1 FDCSI基本理论
  • 2 混合快速共轭梯度法
  • 3 模型算例
  • 4 结论
  • 参考文献