High-speed modeling of reservoir fluid flow near the multistage hydraulic fractures on horizontal well

Currently, the problem of reliable design and evaluation of the effectiveness of multistage hydraulic fracturing with the determination of the contribution of each interval of hydraulic fracturing to the total production of the well is urgent. The paper formulates a mathematical model for reducing the dimensionality of the problem of fluid inflow to the fractures of the multistage hydraulic fracturing using a fixed stream tubes model. The limitations under which the proposed approach is applicable for fractures of finite permeability are identified. Two-component and two-phase flow problems approbation has been carried out. It is shown that the proposed low-dimensional model gives a gain of 2-3 orders of magnitude in the counting speed compared to the solution in the original formulation.