Geomechanical and geophysical computational model for oil and gas stimulation and production

A non-transitory computer-readable medium storing instructions that, when executed by data processing apparatus, cause the data processing apparatus to perform operations comprising:

• accessing a plurality of subsystem models, each subsystem model representing dynamic attributes of a distinct physical subsystem in a subterranean region, at least one of the plurality of subsystem models representing dynamic attributes of a mechanical subsystem in the subterranean region;
• accessing a discrete fracture network (DFN) model representing a fracture network in the subterranean region, the DFN model comprising junction models, each junction model representing interactions between a respective set of subsystem models associated with the junction model, wherein said junction model uses a Navier-Stokes equation to model fluid flow and connects one or more joints to each other, and wherein said DFN model includes a leak-off model;
• defining junction variables of the junction model based on dynamic attributes of the respective set of subsystem models associated with the junction model, wherein conservation equations of the DFN model are explicitly satisfied with the junction models defined using the junction variables;
• simulating a first stimulation treatment for the subterranean region by operating the DFN model comprising the junction variables, wherein said simulating is used to control an injection treatment by generating a pumping schedule in advance of the injection treatment or by modifying an existing fracture treatment plan in real time during the injection treatment;
• and
• simulating a second stimulation treatment for the subterranean region based on the first stimulation treatment, the second stimulation treatment being performed subsequent the simulation of the second stimulation treatment.

A computing system comprising

• data processing apparatus;
• and
• memory storing computer-readable instructions that, when executed by the data processing apparatus, cause the data processing apparatus to perform operations comprising:
• accessing a plurality of subsystem models, each subsystem model representing dynamic attributes of a distinct physical subsystem in a subterranean region, at least one of the plurality of subsystem models representing dynamic attributes of a mechanical subsystem in the subterranean region;
• accessing a discrete fracture network (DFN) model representing a fracture network in the subterranean region, the DFN model comprising junction models, each junction model representing interactions between a respective set of subsystem models associated with the junction model, wherein said junction model uses a Navier-Stokes equation to model fluid flow and connects one or more joints to each other, and wherein said DFN model includes a leak-off model;
• defining junction variables of the junction model based on dynamic attributes of the respective set of subsystem models associated with the junction model, wherein conservation equations of the DFN model are explicitly satisfied with the junction models defined using the junction variables;
• simulating a first stimulation treatment for the subterranean region by operating the DFN model comprising the junction variables, wherein said simulating is used to control an injection treatment by generating a pumping schedule in advance of the injection treatment or by modifying an existing fracture treatment plan in real time during the injection treatment;
• and
• simulating a second stimulation treatment for the subterranean region based on the first stimulation treatment, the second stimulation treatment being performed subsequent the simulation of the second stimulation treatment.