Abstract: 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.

Abstract: The invention concerns a method and a system for predicting the apparent flow conductivity of a heterogeneous medium. According to the invention, the following steps are implemented:—choosing a flow conductivity element type with a given set of characteristic parameters;—determining equations for said flow in said element type;—determining a network statistics for said given set of characteristic parameters; and—performing a stochastic homogenisation of said equations, for said network statistics. The invention applies more particularly to the predicting of the apparent viscosity of non-Newtonian fluids in a heterogeneous porous medium.

Abstract: 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.

Abstract: The invention concerns a method and a system for predicting the apparent flow conductivity of a heterogeneous medium. According to the invention, the following steps are implemented:—choosing a flow conductivity element type with a given set of characteristic parameters;—determining equations for said flow in said element type;—determining a network statistics for said given set of characteristic parameters; and—performing a stochastic homogenisation of said equations, for said network statistics. The invention applies more particularly to the predicting of the apparent viscosity of non-Newtonian fluids in a heterogeneous porous medium.