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因钻井作业时泥浆侵入等因素,井外介质沿径向常呈现非均匀性。本文将地层视为柱面分层孔隙介质,采用传递矩阵法模拟声波测井波场。注意到慢纵波波数的实部和虚部都很大,当井外含大厚度层且频率较高时,易因计算大自变量的Hankel函数而溢出,我们在波场表达式中引入了归一化的Hankel函数。论文将前人模拟关于柱面分层固体弹性介质声波测井的广义反射/透射系数计算方法推广到了分层孔隙介质情况,导出了波幅系数的计算公式,并针对含侵入带的柱面分层孔隙地层,计算了声波测井全波波形。
Due to drilling mud invasion and other factors, well outside the media often showed non-uniform radial. In this paper, the stratum is regarded as the cylindrical layered porous media, and the acoustic matrix wave field is simulated by transfer matrix method. It is noted that the real and imaginary parts of the slow P wave number are very large. When the well has a large thickness and the frequency is high, it is easy to overflow due to the calculation of the Hankel function of the large independent variable. We introduced the wave field expression A Hankel function. In this paper, the generalized reflection / transmission coefficient calculation method of acoustic simulation for cylindrical stratified solid elastic media is generalized to the case of stratified porous media. The calculation formula of the amplitude coefficient is deduced. Pore formation, calculated the full waveform of sonic logging.