倾斜井眼中感应测井正演模拟与响应特征

计算物理 ›› 2003, Vol. 20 ›› Issue (2): 161-168.

倾斜井眼中感应测井正演模拟与响应特征

Z其木苏荣^1,2, 汪宏年¹

1. 吉林大学物理系, 吉林长春 130023;
2. 内蒙古民族大学理工学院物理系, 内蒙古通辽 028043

收稿日期:2001-06-13 修回日期:2002-02-21 出版日期:2003-03-25 发布日期:2003-03-25
作者简介:Z其木苏荣(1957-),男,内蒙古库伦旗,副教授,硕士,从事理论物理和感应测井正反演及测井资料的综合处理等方面的研究.

Forward Modeling of Induction Well Logging Tools in Dipping Boreholes and Their Response

CHIMEDSURONG Z^1,2, WANG Hong-nian¹

1. Department of Physics, Jilin University, Changchun 130023, China;
2. Department of Physics, College of Science and Engineering, National University of Inner Mongolia, Tongliao 028043, China

Received:2001-06-13 Revised:2002-02-21 Online:2003-03-25 Published:2003-03-25

摘要/Abstract

摘要： 感应测井仪器的发射源可简化为一系列磁偶极子,其在层状地层中产生的电磁场可分解成彼此独立的TE波和TM波叠加,且TE波和TM波完全由两个标量方程确定.首先研究倾斜井眼中磁偶极子场的TE波和TM波分解,推导多层介质中电磁场振幅以及地层界面上广义反射和透射系数的递推公式,给出层状地层电磁场解析解.然后利用数值结果分析考察砂泥岩薄交互层中,地层层厚、井眼倾角变化等对感应测井响应的影响.

关键词: 倾斜井眼, 感应测井, TE波和TM波分解, 正演模拟

Abstract: The transmitters of induction well logging tools can be simplified as a series of magnetic dipoles, whose fields formed in dipping boreholes can be decomposed as the sum of transversal electrical and transversal magnetic waves (TE and TM waves), and solved completely from the two scalar partial differential equations. A new process is first given to decompose the electromagnetic field into TE and TM waves through the tensor expression of Maxwell equations in the cylinder system, and then recurrence formula for amplitudes of the field in each bed and generalized reflection and transmission coefficients on each boundary are given. On the bases, the analytic solution of the field in each bed is obtained. Finally, using numerical results, the influence of dipping angles of boreholes, bed thickness and thinly laminated sand/shale on the response of the deep induction well logging tools is investigated.

Key words: dipping borehole, induction log, magnetic dipole, TE and TM waves, forward modeling

中图分类号:

Z其木苏荣, 汪宏年. 倾斜井眼中感应测井正演模拟与响应特征[J]. 计算物理, 2003, 20(2): 161-168.

CHIMEDSURONG Z, WANG Hong-nian. Forward Modeling of Induction Well Logging Tools in Dipping Boreholes and Their Response[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(2): 161-168.