基于岩石物理理论的井中数据外推

Extrapolating data compensation based on petrophysical theory

建立地震反演计算中的速度模型需要全井段的波速和岩石密度测井曲线。由于受地质条件、工作条件、观测方式、仪器状态等诸多因素的限制,通常难以得到一口井中完整的测井数据。为得到完整的测井数据,本文综合应用岩石物理学中的阿尔奇公式和Gardner公式,基于基本假设,对岩石骨架密度、电阻率、纵波速度以及孔隙度之间的相互关系进行理论推导,并在此基础上根据已知的测井数据外推得到其他测井数据。某工区的数值试验验证该方法的可行性和正确性。

The acoustic and density logging curves of whole well can be used in seismic inversion to build the velocity model.Due to the geological conditions,observations,instrumentstatus,and many other factors limit,it is generally hard to obtain the whole logging data from one well.To preserve the integrity of logging data,we derive the relationship between the rock matrix density,resistivity,P-wave velocity,and porosity with the Archie＇s law and Gardner＇s equation in petrophysics.And,we can predict other logging curves with the derived relation.It shows the feasibility in the numerical analysis from a field test.