Bounds on geomechanical constants for a model of heterogeneous reservoirs

摘要: A well-known result due to Hill provides an exact expression for the bulk modulus of any multicomponent elastic composite whenever constituents are isotropic and shear is uniform throughout. Although no precise analog Hill’s available opposite case varying modulus, it shown here that some similar statements can be made behavior random polycrystals composed laminates materials. This model intended incorporate characteristics mimic geomechanical properties heterogeneous earth reservoirs, including local layering sedimentary processes. In particular, Hashin-Shtrikman-type bounds Peselnick, Meister, Watt hexagonal (transversely isotropic) grains applied our laminates. An product formula relating Reuss estimate effective (of laminated composing system) products eigenvalues quasi-compressional quasi-uniaxial eigenvectors also plays important role in analysis overall polycrystal. When such a system, equations reduce simple form depends prominently on uniaxial eigenvalue o as expected from physical arguments concerning importance these systems. Applications analytical results presented include benchmarking numerical procedures used studying complex composites, estimating coefcients needed up-scaled elasticity and/or poroelasticity reservoirs.