流体地层模型声测井波场的复极点分析  

Analysis of the complex poles in the acoustic field when the formation is modeled to be a fluid

作　　者：刘伟[1] 

机构地区：[1]华北电力大学数理系,保定071003

出　　处：《黑龙江大学自然科学学报》2008年第1期127-130,135,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10272038);华北电力大学青年教师基金资助项目(20041107)

摘　　要：充流体裸眼井模型中的声场传播是声波测井技术的理论基础之一。对流体—流体模型裸眼井声场进行了数值模拟计算。采用牛顿迭代法求解了声场频散方程的根;通过对软地层和超软地层中各区域内计算结果的对比,发现根的实部随频率增大而增大,虚部随频率增大而减小;并且根的实部不会大于井内流体波数和井外纵波波数的最大值。The sound propagation in fluid - filled borehole is a rationale of acoustic well logging technology. The numerical simulation of fluid - fluid model was done. Newton iterative method was used to gain the root of the dispersion equation. After the results in regions of the slow formation and the ultra - slow formation had been compared, it was found that as the frequency increases the root＇ s real part increases and the imaginary part decreases. As an important result the root＇ s real part is smaller than the maximum of the fluid wavenumber in the hole and the longitudinal wavenumber was gained.

关 键 词：牛顿迭代法 频散方程 软地层 

分 类 号：O421[理学—声学]