二维圆柱坐标下FDTD法对多频电磁波测井的数值模拟  

Multi-frequency electromagnetic well logging simulation by 2-D cylindrical FDTDLIU

作　　者：刘四新[1] 刘四新 刘四新[1] 刘四新[1] 

机构地区：[1]吉林大学地球探测科学与技术学院，吉林长春130026

出　　处：《吉林大学学报（地球科学版）》2004年第2期283-286,共4页Journal of Jilin University：Earth Science Edition

基　　金：国家自然科学基金资助项目(49674233);吉林大学青年基金资助项目;教育部留学回国人员科研启动基金资助项目

摘　　要：在介质围绕Z轴旋转对称的情况下,三维直角坐标下的麦克斯韦方程可变成两组分别对应TM波和TE波的二维柱坐标下的偏微分方程。采用线圈作为电磁波测井的发射器和接收器的时候,可采用TE波对应的方程,这时相当于磁极子的情况。而采用电偶极子作为发射和接收器的时候,则对应TM波的方程。采用时间和空间均为二阶精确的有限差分方法,将偏微分方程进行差分化。这样,空间的电磁场可由时间域有限差分法(FDTD)来求解。Assuming rotational symmetry with respect to the z-axis,Maxwell's equations for 3-D Cartesian can be transformed into two sets of partial differential equations corresponding to TE and TM waves under 2-D cylindrical coordinates. When the coils are used as both transmitters and receivers, equations with TE wave can be used. This is the case of magnetic dipole. Equations with TM wave will function when the electric dipoles are applied as transmitters and receivers. The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.

关 键 词：麦克斯韦方程 时间域有限差分 多频电磁波测井 数值模拟 

分 类 号：P631.813[天文地球—地质矿产勘探]