Abstract:
At present, to analyze the efficiency of the oil field flooding system, proxy models of the CRM family (capacitance-resistive model, capacitance-resistive models) are actively used - mathematical models of the material balance formulated in the framework of the electrodynamic analogy. However, with a large number of production and injection wells, the accuracy of modeling decreases due to the many local minima of the objective function. One of the reasons for this ambiguity of the solution is the lack of a priori information about which injection wells really affect a particular production well. The mask of mutual influence has been determined, which made it possible to significantly reduce the number of determined mutual influence coefficients. A computational algorithm is proposed in which, instead of solving a multi-extremal problem, a sequence of problems with a quadratic objective function and convex constraints on variables in the form of simple inequalities is solved. An example of approbation of the proposed method is given.
Keywords:mathematical modeling of field development, material balance model, CRM, well interference mask, entropy modeling, forecast.