Abstract

Hydraulic fracturing is a well-known production intensification technique in the petroleum industry that aims to enhance the productivity of a well drilled mostly in less permeable reservoirs. The process’s effectiveness depends on the achieved fracture conductivity, the product of fracture width, and the permeability of the proppant pack placed within the fracture. This article presents an innovative method developed by our research activity that incorporates the benefit of the Discrete—and Finite Element Method to describe the in situ behavior of hydraulic fractures with a particular emphasis on fracture conductivity. DEM (Discrete Element Method) provided the application of random particle generation and non-uniform proppant placement. We also used FEM (Finite Element Method) Static Structural module to simulate the elastic behavior of solid materials: proppant and formation, while CFD (Computational Fluid Dynamics) module was applied to represent fluid dynamics within the propped fracture. The results of our numerical model were compared to data of API RP-19D and API RP-61 laboratory measurements and findings gained by publishers dealing with propped fracture conductivity. The match of the outcomes verified the method and encouraged us to describe proppant deformation and embedment and their effect as precisely as possible. Based on the results, we performed sensitivity analysis which pointed out the impact of several factors affecting proppant embedment, deformation, and fracture conductivity and let one be aware of a reasonable interpretation of propped hydraulic fracture operation. However, DEM–CFD coupled models were introduced regarding fracturing before, to the best of our knowledge, the developed workflow of coupling DEM–FEM–CFD for modeling proppant-supported fracture behavior has not been applied yet, thus arising new perspectives for explorers and engineers.

Highlights

  • Proppant is a granular media with high porosity, is mixed with the fracturing fluid to prop the fracture and prevent formation closure that would result in an ineffective stimulation [3]

  • The phenomenon investigated in this research occurs after fractures are created, and hydraulic pumps are stopped entailing the hydraulic fluid pressure to drop below the formation closure pressure

  • There is no more extra pressure energy to hold the fractures open, which leads to a closing action of the formation, which is prevented by proppant particles that carry the stresses of formation closure [4]

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Summary

Introduction

The fracturing procedure is controlled on the surface and executed by high-power hydraulic pumps boosting the hydraulic fluid to exceed the formation breakdown pressure at the bottom hole. The phenomenon investigated in this research occurs after fractures are created, and hydraulic pumps are stopped entailing the hydraulic fluid pressure to drop below the formation closure pressure. At this point, there is no more extra pressure energy to hold the fractures open, which leads to a closing action of the formation, which is prevented by proppant particles that carry the stresses of formation closure [4]. Since the above-described situation affects fracture conductivity significantly, it is crucial to model the problem comprehensively

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