超声波测井条件下砂岩的波动方程及其压实条件探讨

DISCUSSION ON WAVE EQUATION OF SANDSTONE IN ULTRASONIC WAVE AND ITS COMPACTION

江汉油田测井公司

本文将纯砂岩的一维超声实验模型推广到三维,用声速公式得到了砂岩的超声统计模型——威利公式及其压实条件。推导出欠压实砂岩超声波动方程(理论模型)。引入压实条件,得到压实砂岩的超声波动方程。最后,简单讨论了三种超声模型之间的关系,给出了超声波动方程的应用实例。

What’s presented in this paper includes, to popularize the one dimensional ultrasonic experimental model of sandstone to three dimensional one; by using the acoustic velocity formula, the sandstone ultrasonic statistic model, Wyllie relationship and its compaction could be obtained. The inadequately compacted sandstone(theore-tical model) is derived. As compaction is introduced, the ultrasonic wave equation of compacted sandstone can be thus acquired.Finally, the intercoordination of the 3 different ultrasonic models is cursorily examined. Also, example of applying the ultrasonic wave equation is given.