MODELING THE NONLINEAR HYSTERESIS RESPONSE OF RESERVOIR MEDIA

A method of modeling a nonlinear hysteresis response of reservoir media involves obtaining measurements of core samples from the reservoir to generate a multitude 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 multitude of bounding curves and a multitude of material functions, the multitude of material functions determined based on material properties associated with the reservoir, generating, using the processor, an output in a form of capillary-pressure scanning curves based on the multitude of constitutive equations, the capillary-pressure scanning curves representing drainage and imbibition behaviors of the reservoir during an oilfield operation, and storing the output.