Известия Томского политехнического университета: Инжиниринг георесурсов (Dec 2022)

DEVELOPMENT OF MATHEMATICAL MODELS FOR PREDICTING THE CHARACTERISTIC LINEAR DIMENSIONS OF THE FORMATION DRAINAGE ZONE AND THE IMPACT OF DISPERSED PARTICLES ON THE FORMATION WITH AUTO-HYDRAULIC FRACTURE

  • Alexander P. Shevelev,
  • Alexander Ya. Gilmanov,
  • Elizaveta P. Kanonirova

DOI
https://doi.org/10.18799/24131830/2022/12/3778
Journal volume & issue
Vol. 333, no. 12
pp. 111 – 121

Abstract

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The relevance of the research is in the need to prevent early growth of the production water cut during the development of oil reservoirs characterized by low permeability because of increase in the number of oil production operations using hydraulic fracturing technology. The main goal is to develop mathematical models for predicting the characteristic linear dimensions of the reservoir drainage zone and the impact of dispersed particles on the formation with auto-hydraulic fracture. The main objects: reservoirs with low permeability, auto-hydraulic fracture, suspension injected into an oil reservoir, dispersed particles added to the working agent. Applied methods: statement of the physical problem, compiling a system of equations of mechanics of multiphase systems, simple iteration method for solving a transcendental equation, evaluation and analysis of the values predicted by the developed models. Research results. It was established that the mathematical model developed on the basis of the system of equations of mechanics of multiphase systems makes it possible to determine the characteristic linear size of the formation drainage zone. It is shown that for the presented model parameters, this characteristic is 3,65 m. It is determined that the control parameters for the linear size of the drainage zone are the concentration of suspension particles in the mixture in the injection well, the formation permeability, the width and length of the fracture. A mathematical model was built to predict the impact of dispersed particles of the injected agent on the formation. It was found that when dispersed particles are added to the working mixture, the suspension consumption decreases due to the deposition of particles in the pore channels. A numerical evaluation of the change in the flow rate of the suspension during the treatment of a crack with an auto-fracturing polymer-dispersed mixture was carried out. For the presented model parameters, the decrease in the flow rate is approximately 105 times.

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