Abstract
This paper focuses on the study of proppant transport mechanisms in fractures during frac-packing operation. A multi-module, numerical proppant, reservoir and geomechanics simulator has been developed, which improves the current numerical modeling techniques for proppant transport. The modules are linked together and tailored to capture the processes and mechanisms that are significant in frac-pack operations. The proposed approach takes advantage of a robust and sophisticated numerical smeared fracture simulator and incorporates an in-house proppant transport module to calculate propped fracture dimensions and concentration distribution. In the development of software capability, the propped fracture geometry and proppant concentration, which are the output of the proppant module, are imported to the hydraulic fracture simulator through mobility modification. Complex issues of proppant transport in fractures that are addressed in the literature and captured by the current model are: hindered settling velocity (terminal velocity of proppant in the injection fluid), the effect of fracture walls, proppant concentration and inertia on settling (due to extra drag forces applied on particles, compared to single-particle motion in Stokes regime in unbounded medium), possible propped fracture porosity and also mobility change due to the presence of proppant, and fracture closure or extension during proppant injection. A sensitivity analysis is conducted using realistic parameters to provide guidelines that allow more accurate predictions of the proppant concentration and fluid flow. The main objective of this study is to link a numerical hydraulic fracture model to a proppant transport model to study the fracturing response and proppant distribution and to investigate the effect of proppant injection on fracture propagation and fracture dimensions.
Highlights
In the numerical simulation of hydraulic fracturing in a reservoir, the actual size of a fracture can be modeled if it extends over several grid-blocks [1,2]
The idea of smeared fracture modelling combined with proppant transport appears promising
This paper presents the linkage between the three modules of fluid flow simulator, geomechanics module and proppant transport simulator
Summary
In the numerical simulation of hydraulic fracturing in a reservoir, the actual size of a fracture can be modeled if it extends over several grid-blocks [1,2]. Since a fracture has high permeability with a very small width, compared to the model dimensions, having one grid refinement for the fracture and another grid refinement for the reservoir [3,4] requires a large degree of refinement for the entire model which poses serious numerical stability problems and requires long run-time of the computer. To overcome these limitations, maximize numerical stability and reduce run time, [4,5] proposed the use of one common grid system for both the fracture and the reservoir, where the fracture is modelled by increasing the permeability of the grids that contain the fracture. In the numerical scheme proposed in this paper, Energies 2020, 13, 2822; doi:10.3390/en13112822 www.mdpi.com/journal/energies
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