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.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
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)
关键词
牛顿迭代法
频散方程
软地层
pole
branch point
mode wave
low formation
