Computer-implemented systems and methods for use in modeling a geomechanical reservoir system

A computer-implemented method for use in modeling a fracture in a geomechanical reservoir system, comprising:

• receiving, through a computer system, data indicative of physical properties associated with the geomechanical reservoir system;
• defining, through a computer system, a three-dimensional grid comprising a plurality of three-dimensional cells, wherein each of the three-dimensional cells comprises a plurality of nodes;
• defining, through a computer system, a two-dimensional grid comprising a plurality of two-dimensional cells, wherein each of the two-dimensional cells comprises a plurality of nodes, and wherein each of the two-dimensional cells shares at least four nodes with a three-dimensional cell;
• generating, through a computer system, fracturing predictions by solving a system of partial differential equations that model the geomechanical reservoir system;
• wherein the system of partial differential equations comprises a reservoir flow model, a geomechanical model, and a fracture model of the geomechanical reservoir system;
• wherein the system of partial differential are coupled through a fully-expanded Jacobian;
• wherein the solving of the system of partial differential equations comprises solving simultaneously in a single timestep the fully-expanded Jacobian based upon the received physical properties data;
• wherein the reservoir model and the geomechanical model are computed on the three-dimensional grid;
• and
• wherein the fracture model is computed on the two-dimensional grid;
• and
• wherein the fracturing predictions model the geomechanical reservoir system for the timestep;
• and
• outputting or displaying, through a computer system, the generated fracturing predictions.

A computer-implemented system for use in modeling a geomechanical reservoir system, the system comprising:

• one or more data structures resident in a memory for storing data representing a two-dimensional grid and a three-dimensional grid;
• and
• software instructions, for executing on one or more data processors, to generate the fracturing predictions by solving a system of partial differential equations that model the geomechanical reservoir system;
• wherein:
• the system of partial differential equations comprises a reservoir flow model, a geomechanical model, and a fracture model of the geomechanical reservoir system;
• the system of partial differential are coupled through a fully-expanded Jacobian;
• the solving of the system of partial differential equations comprises solving simultaneously in a single timestep the fully-expanded Jacobian based upon the received physical properties data;
• the reservoir model and the geomechanical model are computed on the three-dimensional grid;
• the fracture model is computed on the two-dimensional grid;
• and
• the fracturing predictions model the geomechanical reservoir system for the timestep.