基于等效介质理论的页岩声波数值模拟方法研究

李贤胜; 邱小雪; 陈明江; 李玮; 刘向君; 杨孛

doi:10.3969/j.issn.1006-6535.2023.03.008

特种油气藏 >

2023 , Vol. 30 >Issue 3: 63 - 72

DOI: https://doi.org/10.3969/j.issn.1006-6535.2023.03.008

地质勘探

基于等效介质理论的页岩声波数值模拟方法研究

李贤胜 ,
邱小雪 ,
陈明江 ,
李玮 ,
刘向君 ,
杨孛

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1.中国石油川庆钻探工程有限公司,四川成都 610051;
2.中国石油西南油气田分公司,四川成都 610051;
3.西南石油大学,四川成都 610500

李贤胜(1996—),男,助理工程师,2018年毕业于西南石油大学勘查技术与工程专业,2021年毕业于该校地质资源与地质工程专业,获硕士学位,现主要从事测井资料处理与解释工作。

收稿日期: 2022-05-23

修回日期: 2023-03-08

网络出版日期: 2023-07-13

基金资助

国家自然科学基金“压敏性横观各向同性介质中超声脉冲传播机制及动态弹性刚度系数测试方法研究”(420004124)

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A Numerical Simulation Method for Shale Acoustic Wave Based on Equivalent Medium Theory

Li Xiansheng ,
QiuXiaoxue ,
Chen Mingjiang ,
Li Wei ,
Liu Xiangjun ,
Yang Bei

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1. CNPC Chuanqing Drilling Engineering Co., Ltd., Chengdu, Sichuan 610051, China;
2. PetroChina Southwest Oil & Gas Field Company, Chengdu, Sichuan 610051, China;
3. Southwest Petroleum University, Chengdu, Sichuan 610500, China

Received date: 2022-05-23

Revised date: 2023-03-08

Online published: 2023-07-13

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摘要

声波数值模拟对于页岩各向异性特征研究及大斜度井页岩声波校正研究均有着十分重要的意义。为了研究页岩声波各向异性特征,基于等效介质理论构建了由泥质层、砂质层组成的页岩等效模型,从弹性理论出发,推导出等效页岩模型刚度系数、声波波速计算方法,分析了纹层弹性参数、纹层厚度、纹层角度、纹层密度等对等效页岩模型刚度系数和弹性波速的影响。研究表明:泥质层与砂质层厚度比会影响等效介质刚度系数;等效页岩模型刚度系数值随弹性参数比的增加而增加;泥质层的拉梅系数会影响纵波波速与纹层角度关系、横波波速极值,对SH波没有影响;声波波速随泥质层的剪切模量或弹性参数比的增加逐渐增加,且剪切模量对3种波速与纹层角度的关系均有较大影响;纹层密度一定时,随着纹层角度增加,纵波波速逐渐降低并趋于稳定,横波波速先增加后降低,SH波速逐渐降低;纹层角度一定时,3种波速均随纹层密度的增加逐渐降低。研究结果对页岩声波数值模拟方法及声波测井校正方法具有指导意义。

关键词： 等效介质理论; 页岩模型; 纹层厚度; 纹层弹性参数; 声波波速; 数值模拟

本文引用格式

李贤胜 , 邱小雪 , 陈明江 , 李玮 , 刘向君 , 杨孛 . 基于等效介质理论的页岩声波数值模拟方法研究[J]. 特种油气藏, 2023 , 30(3) : 63 -72 . DOI: 10.3969/j.issn.1006-6535.2023.03.008

Abstract

Numerical simulation of acoustic wave is very important for the study of anisotropy characteristics of shale and the study of shale acoustic wave correction in highly inclined well. In order to study the anisotropic characteristics of shale acoustic wave, an equivalent shale model composed of argillaceous and sand layers was established on the basis of equivalent medium theory, the calculation methods of the stiffness coefficient and acoustic wave velocity of the equivalent shale model were derived from the elasticity theory, and the influences of the elastic parameter, thickness, angle and density of the lamina on the stiffness coefficient and the elastic wave velocity of the equivalent shale model were analyzed. The study shows that the thickness ratio of argillaceous layer to sandy layer affected the stiffness coefficient of equivalent medium. The stiffness coefficient of equivalent shale model increased with the increase of parameter ratio. Lamet coefficient of argillaceous layer affected the relationship between P-wave velocity and lamina angle and the extreme value of S-wave velocity, but had no effect on SH wave. The acoustic wave velocity was increased with the increase of shear modulus or parameter ratio of the argillaceous layer, and the shear modulus had a great effect on the relationship between the three wave velocities and the lamina angle. When the lamina density was constant, the P-wave velocity was decreased gradually and stabilized with the increase of lamina angle, the S-wave velocity increased first and then decreased, and the SH wave velocity decreased gradually. When the lamina angle was constant, the three wave velocities were decreased gradually with the increase of lamina density. This study plays a guiding role in the shale acoustic numerical simulation and acoustic logging correction.

Key words： equivalent medium theory; shale model; lamina thickness; lamina elastic parameters; acoustic wave velocity; numerical simulation

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