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一般认为液体饱和岩石中的声速是随频率而变的。证据可由实验测量和理论上的因果律分析取得。我们发展了一种能从零频率到任何测试频率之间得到全速度弥敞数值的简单分析方法。本方法要求在干燥与全饱和岩石中测得纵波(P)和横波(S)的速度。如果干燥岩石速度与频率无关,则可用 Biot-Gassmann 方程来计算全饱和岩石的零频率速度。测量的速度和计算的零频率速度之差可看作为弥散的证据。
It is generally believed that the velocity of sound in a liquid saturated rock changes with frequency. Evidence can be obtained from experimental measurements and theoretical causal analysis. We have developed a simple analytical method to get full-speed magnitudes between zero and any test frequency. This method requires the measurement of longitudinal (P) and shear (S) velocities in dry and fully saturated rocks. If the dry rock velocity is independent of frequency, then the Biot-Gassmann equation can be used to calculate the zero-frequency velocity of a fully saturated rock. The difference between the measured velocity and the calculated zero-frequency velocity can be taken as evidence of dispersion.