Patent ID: 8301428
Filing Date: 2012-10-30
Classification: E21B,G01V,G06F

Abstract:
1. A method of modeling a nonlinear hysteresis response of reservoir media comprising: obtaining measurements of core samples from the reservoir to generate a plurality of bounding curves representing primary drainage and primary imbibition characteristics of a reservoir; generating, using a processor, a plurality of constitutive equations based on the plurality of bounding curves and a plurality of material functions, the plurality of material functions determined based on material properties associated with the reservoir, and wherein the plurality of constitutive equations comprises: where p c is capillary pressure, p c d is a primary drainage curve, p c i is a primary imbibition curve, α is a hysteretic function parameter, S is fluid saturation, sgn( ) is sign function, {dot over (S)}=dS/dt is a rate of the fluid saturation, and χ(S,{dot over (S)}), γ(S,{dot over (S)}) and η(α) are at least a portion of the plurality of material functions; generating, using the processor, an output in a form of capillary-pressure scanning curves based on the plurality of constitutive equations, the capillary-pressure scanning curves representing drainage and imbibition behaviors of the reservoir during an oilfield operation; and storing the output.