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A Decoupling Approach for Differential Equivalent Equations Based on Linear Approximation
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 78th EAGE Conference and Exhibition 2016, May 2016, Volume 2016, p.1 - 5
Abstract
Summary
Bulk and shear moduli of dry rocks are two key parameters for fluid substitutions and S- wave velocity predictions. Differential equivalent medium (DEM) theory is an important method to determine the effective elastic properties of dry rocks. But the differential equations for bulk and shear moduli are coupled. Based on the approximate linear relation between dry-frame modulus ratio and porosity, this paper proposes a new method to decouple the differential equations and obtain the analytic expressions for dry rock frame modulus. The applications of experiment and logging data both show the validity of the new analytic solutions in estimating P- and S-wave velocities of clastic reservoirs.
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