Abstract: A method is disclosed including simulating a hydraulic fracture in an Earth formation, the formation including a multilayered reservoir, wherein a mesh overlays the hydraulic fracture thereby defining a plurality of fracture elements. The method further includes calculating and determining an influence coefficient matrix having spatially related indices, wherein the spatially related indices relate influence coefficient matrix elements to corresponding fracture elements. The mesh overlays the hydraulic fracture in more than one layer of the multilayered reservoir. In one embodiment, the method is executed on a program storage device readable by a machine tangibly embodying a program of instructions executable to perform the method.

Abstract: A method, practiced by a Hydraulic Fracturing Simulator software, is adapted for simulating a hydraulic fracture in an Earth formation, the formation including a multilayered reservoir, a mesh adapted to overlay the fracture in the formation thereby defining a plurality of elements, the mesh and the fracture defining one or more partially active elements, the method comprising the step of: setting up an Influence Coefficient Matrix, the matrix having a plurality of numbers, the plurality of numbers of the Influence Coefficient Matrix being calculated and determined such that the method, practiced by the Hydraulic Fracturing Simulator software for simulating the hydraulic fracture, models, or take into account an existence of, the multilayered reservoir and the partially active elements.

Abstract: A method, practiced by a Hydraulic Fracturing Simulator software, is adapted for simulating a hydraulic fracture in an Earth formation, the formation including a multilayered reservoir, a mesh adapted to overlay the fracture in the formation thereby defining a plurality of elements, the mesh and the fracture defining one or more partially active elements, the method comprising the step of: setting up an Influence Coefficient Matrix, the matrix having a plurality of numbers, the plurality of numbers of the Influence Coefficient Matrix being calculated and determined such that the method, practiced by the Hydraulic Fracturing Simulator software for simulating the hydraulic fracture, models, or take into account an existence of, the multilayered reservoir and the partially active elements.

Abstract: A method, practiced by a Hydraulic Fracturing Simulator software, is adapted for simulating a hydraulic fracture in an Earth formation, the formation including a plurality of layers, a slip zone, which represents a debonding between adjacent layers of the Earth formation, possibly existing between the adjacent layers, the method comprising the step of: setting up an Influence Coefficient Matrix, the matrix having a plurality of numbers, the plurality of numbers of the Influence Coefficient Matrix being calculated and determined such that the method, practiced by the Hydraulic Fracturing Simulator software for simulating the hydraulic fracture, will model, or take into account an existence of, the slip zone and/or the debonding between the adjacent layers of the Earth formation.

Abstract: A method, practiced by a Hydraulic Fracturing Simulator software, is adapted for simulating a hydraulic fracture in an Earth formation, the formation including a plurality of layers, a slip zone, which represents a debonding between adjacent layers of the Earth formation, possibly existing between the adjacent layers, the method comprising the step of: setting up an Influence Coefficient Matrix, the matrix having a plurality of numbers, the plurality of numbers of the Influence Coefficient Matrix being calculated and determined such that the method, practiced by the Hydraulic Fracturing Simulator software for simulating the hydraulic fracture, will model, or take into account an existence of, the slip zone and/or the debonding between the adjacent layers of the Earth formation.

Abstract: A method and system and program storage device is adapted to continuously update a perimeter of a fracture footprint created in an Earth formation when a fracturing fluid fractures the formation penetrated by a wellbore. Two embodiments of a Volume of Fluid (VOF) software, adapted to be stored in a memory of a computer system, will locate the position of a fracture perimeter during the evolution of that fracture when the software is executed by the processor of the computer system. The two embodiments, called the ‘Marker VOF (MVOF)’ and the ‘Full VOF (FVOF)’ software, will continuously update the perimeter of the fracture footprint by updating a Fill Fraction for each tip element. The MVOF software will use a fill fraction mass balance integral equation to update the Fill Fraction for each tip element, and the FVOF software will use an integrated form of fluid flow equations to update the Fill Fraction for each tip element.

Abstract: A method and system and program storage device is adapted to continuously update a perimeter of a fracture footprint created in an Earth formation when a fracturing fluid fractures the formation penetrated by a wellbore. Two embodiments of a Volume of Fluid (VOF) software, adapted to be stored in a memory of a computer system, will locate the position of a fracture perimeter during the evolution of that fracture when the software is executed by the processor of the computer system. The two embodiments, called the ‘Marker VOF (MVOF)’ and the ‘Full VOF (FVOF)’ software, will continuously update the perimeter of the fracture footprint by updating a Fill Fraction for each tip element. The MVOF software will use a fill fraction mass balance integral equation to update the Fill Fraction for each tip element, and the FVOF software will use an integrated form of fluid flow equations to update the Fill Fraction for each tip element.

Abstract: A method, practiced by a Hydraulic Fracturing Simulator software, is adapted for simulating a hydraulic fracture in an Earth formation, the formation including a multilayered reservoir, a mesh adapted to overlay the fracture in the formation thereby defining a plurality of elements, the mesh and the fracture defining one or more partially active elements, the method comprising the step of: setting up an Influence Coefficient Matrix, the matrix having a plurality of numbers, the plurality of numbers of the Influence Coefficient Matrix being calculated and determined such that the method, practiced by the Hydraulic Fracturing Simulator software for simulating the hydraulic fracture, models, or take into account an existence of, the multilayered reservoir and the partially active elements.