Page 46 - 《应用声学》2023年第6期

第 42 卷 第 6 期 Vol. 42, No. 6
2023 年 11 月 Journal of Applied Acoustics November, 2023

⋄ 研究报告 ⋄

横向各向同性地层快速各向异性反演方法 ∗

宋云红 1† 陈 浩 2,3,4 李 超 2,3 赵妙颖 1

(1 北华航天工业学院 廊坊 065000)
(2 北京市海洋深部钻探测量工程技术研究中心 北京 100190 )
(3 中国科学院声学研究所 北京 100190)
(4 中国科学院大学 北京 100049)
摘要：斯通利波的频散特性常用于反演横向各向同性地层的各向异性。该文重点对斯通利波频散曲线随井孔
和地层弹性模量相关参数的变化规律进行了探讨，提出了频散曲线的快速插值计算方法，经过误差分析验证
了插值频散计算的可行性。据此提出了通过对参数大间隔取值建立理论频散数值表，插值计算不同各向异性
参数的频散曲线，对比波形频散快速反演横向各向同性地层各向异性的方法。基于实轴积分法计算的横向各
向同性地层井孔声场分别进行了插值频散快速反演和传统方法反演，对比结果证实了该文提出的快速反演方
法的准确高效性，并且对数据加噪后验证了快速反演方法的抗噪性。
关键词：各向异性；斯通利波；频散曲线；快速反演
中图法分类号: O426 文献标识码: A 文章编号: 1000-310X(2023)06-1156-09
DOI: 10.11684/j.issn.1000-310X.2023.06.006

The fast anisotropic inversion method of vertical transversely isotropic formation

SONG Yunhong 1 CHEN Hao 2,3,4 LI Chao 2,3 ZHAO Miaoying 1

(1 North China Institute of Aerospace Engineering, Langfang 065000, China)
(2 Beijing Engineering Research Center of Sea Deep Drilling and Exploration, Beijing 100190, China)
(3 Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China)
(4 University of Chinese Academy of Sciences, Beijing 100049, China)

Abstract: The dispersion characteristic of Stoneley wave is often used to invert the anisotropy of vertical trans-
versely isotropic (VTI) formation. This paper focuses on the variation of Stoneley wave dispersion curve with
parameters related to elastic modulus of borehole and formation. A fast interpolation method for dispersion
is proposed and verified by error analysis. Based on the feasibility of interpolation of dispersion curve, a fast
inversion method of VTI anisotropy is proposed. In the fast inversion method, firstly establishing a theoretical
dispersion table on a large scale, then calculating the interpolation dispersion of different anisotropy, finally the
anisotropy can be inverted by finding the interpolation dispersion best matched the waveform dispersion. The
proposed fast inversion method and traditional inversion method are both performed on the sound field data
calculated by the real-axis integration method. The comparison results confirmed the accuracy and efficiency of
the proposed fast inversion method, and the anti-noise ability of the proposed fast inversion method is verified
on the noised data.
Keywords: Anisotropy; Stoneley wave; Dispersion; Fast inversion

2023-04-10 收稿; 2023-06-20 定稿
北华航天工业学院博士启动基金项目 (BKY202018)
∗
作者简介: 宋云红 (1991– ), 女, 河北石家庄人, 博士, 研究方向: 声波测井。
† 通信作者 E-mail: songyh323@163.com