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A different kind of LMR. Rock properties such as compressibility, density, rigidity and type of porefluid can cause different responses to shear and compressional wave components. Goodway, et al., 1997, proposed a method (Lamda-Mu-Rho) to extract rock properties using Lamé’s constant (l, closely related to incompressibility), shear modulus (m), and density (r). The shear modulus conveys information about the rock exclusively, while l and r are affected by pore fluids as well.
Dr. David Gray, a mathematician and researcher at Veritas, used AVO and inversion to extract these attributes from seismic data. Gray’s method is an unbiased, noise-reducing refinement of Goodway’s LMR method. It is applied to prestack seismic data to produce shear modulus and either Lamé’s modulus or bulk modulus volumes. The method uses the reflectivity of Lamé’s constant, the shear modulus reflectivity and density reflectivity. Special AVO analysis allows these reflectivities to be extracted from conventional, pre-stack, P-wave seismic data. These reflectivities are then inverted using post-stack amplitude inversion.
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