Patent ID: 8666717

Claim:
A method for reservoir modeling, comprising: generating an integrated reservoir model, comprising: building a numerical model of a reservoir having at least one injection well and at least one producing well; and using a Eulerian boundary condition with each of the at least one injection well and the at least one producing well; generating a simulation result from the integrated reservoir model, wherein the simulation result includes at least a volume of produced fluids and produced particulate solids from the reservoir and a volume of injected fluids and injected particulate solids into the reservoir; applying a fluids-solids coupling technique to the integrated reservoir model; and generating drag forces and associated stresses in the reservoir using the fluids-solids coupling technique using the formulation: [ K L L T - ΦΔ ⁢ ⁢ t ] ⁡ [ Δ ⁢ ⁢ a Δ ⁢ ⁢ b ] = [ Δ ⁢ ⁢ r 1 Δ ⁢ ⁢ r 2 ] where K and Φ are stiffness matrices of mechanical and seepage fields respectively, L is the mechanical-seepage fields coupling matrix, a and b are mechanical displacements and fluid pressures respectively, Δr 1 and Δr 2 are external loads from mechanical and seepage fields respectively.