应用非线性理论判据求解相交物探信息闭合问题

Solving the closure of intersecting geophysical informations by nonlinear theoretical criterion

相交物探信息的闭合一直是物探解释工作中的一个重要问题。由于诸多原因，闭合差往往是不可避免的。除如井壁坍塌或噪音等严重外因影响外，闭合差最终可由频率振幅差、相位差和时差来描述。但是闭合差校正往往是一个多解问题。为求解这一问题，本文引入非线性理论判据，从而使得上述三项导致闭合差的因素分离处理。首先在采用零相位同态反褶积技术过程中，引用神经元聚类和分形聚类的判据提取子波，从而克服了同态方法提取子波时反射系数和子波间的模糊边界问题，完成频率振幅差的补偿；尔后，应用关联维判据求解相位差，克服了相位差与时差交叉影响的多解问题；最后采用灰色B型关联度判据求解时差，最终获得满意的结果。

The closure of intersecting geophysical informations has been being an impor-tant problem in geophysical data interpretation. Mis-tie is unavoidable because of many causes. Except external severe causes such as wellface collapse,noises and soon,the mis-tie can be eventually expressed as frequency dependent amplitude differ- ence,phase difference and time difference. However, mis tie correction is usually a multi-solution problem. We use nonlinear theoretical criterion to cope with the prob-lem,so that the three major causes which result in mis-tie can be coped with respec-tively. While using zerophase homomorphic deconvolution, we introduce neuron clustering and fractal clustering criterions to extract wavelets,so that we overcome fuzzy boundary problem between reflection coefficients and wavelets which arises inwavelet extraction using homomorphic method;thus we achieve compensation of fre- quency-dependent amplitude difference. Then we use correlative-dimension criterion to obtain phase difference,thus overcoming the multi-solution problem that arises from the crossed influence of phase difference and time difference. Finally we make use of grey B correlation-degree criterion to estimate time difference.