Abstract: A method of performing a simulation of a subsurface hydrocarbon reservoir. The reservoir is approximated by a reservoir model having a plurality of cells. Each cell has an equation set representing a reservoir property. An initial guess is provided to a solution for a system of equations formed using the equation set for each of the cells. An iterative root-finding method and the initial guess are used to solve for a solution to the system of equations. When the number of non-converged cells is greater than a predetermined amount, neighboring converged cells are added to the non-converged cells. Parts of the method are repeated, substituting the solved solution for the initial guess and the equation sets corresponding to the non-converged cells for the first system of equations, until substantially all equation sets satisfy the convergence criterion. The solved solution is outputted as a simulation of the subsurface reservoir.

Abstract: A method for performing a simulation of a subsurface hydrocarbon reservoir is disclosed. Each cell in a reservoir model has an equation set representing a reservoir property. A stability limit is determined for each cell. Each cell is assigned to an explicit or implicit formulation. A solution to the system of equations is solved for using an initial guess and an explicit or implicit formulation. A stability limit is calculated for the converged cells. When the number of unconverged cells is greater than a predetermined amount, a reduced nonlinear system is constructed with a list of unconverged cells. The reduced nonlinear system is solved with the implicit formulation, and other cells are solved with the explicit formulation. Parts of the method are repeated until all equation sets satisfy a convergence criterion and a stability criterion, and the solved solution is output.

Abstract: A method for performing a simulation of a subsurface hydrocarbon reservoir is disclosed. Each cell in a reservoir model has an equation set representing a reservoir property. A stability limit is determined for each cell. Each cell is assigned to an explicit or implicit formulation. A solution to the system of equations is solved for using an initial guess and an explicit or implicit formulation. A stability limit is calculated for the converged cells. When the number of unconverged cells is greater than a predetermined amount, a reduced nonlinear system is constructed with a list of unconverged cells. The reduced nonlinear system is solved with the implicit formulation, and other cells are solved with the explicit formulation. Parts of the method are repeated until all equation sets satisfy a convergence criterion and a stability criterion, and the solved solution is output.

Abstract: A method of performing a simulation of a subsurface hydrocarbon reservoir. The reservoir is approximated by a reservoir model having a plurality of cells. Each cell has an equation set representing a reservoir property. An initial guess is provided to a solution for a system of equations formed using the equation set for each of the cells. An iterative root-finding method and the initial guess are used to solve for a solution to the system of equations. When the number of non-converged cells is greater than a predetermined amount, neighboring converged cells are added to the non-converged cells. Parts of the method are repeated, substituting the solved solution for the initial guess and the equation sets corresponding to the non-converged cells for the first system of equations, until substantially all equation sets satisfy the convergence criterion. The solved solution is outputted as a simulation of the subsurface reservoir.

Abstract: A method and system are described that enhance the computational simulation, such as a fluid flowing through a porous media, under the present techniques. In particular, a computer implemented simulation method is described that includes initializing a simulator and utilizing an intelligent performance assistant to select a set of parameters and algorithms for the simulator. Then, equations are solved with the set of parameters and algorithms and the solution to the equations is then obtained.