학술논문
The coupling of an enhanced pseudo-3D model for hydraulic fracturing with a proppant transport model
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Working Paper
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Abstract
This paper presents the coupled model of a hydraulic fracturing and proppant transport. The former is described in terms of enhanced pseudo-3D model that considers height growth across two symmetric stress barriers, while the latter is given by two-dimensional transport model, stemming from the solution of an elliptical equation for fluid pressure and advection equation for the proppant transport. These two sub-modules are solved numerically using implicit time integration in hydraulic part and explicit time stepping in the transport part. In addition to that, interpolation is used to couple the two models with different grids. Results of several numerical simulations are presented for different configurations to demonstrate the interplay between these two modules. In particular, the developed coupled scheme allows us to study phenomena associated with complex fluid flow within the fracture, such as for the case of Saffman-Taylor instability.
Comment: Although the EP3D model was used in this study, the Planar3D model is a benchmark for engineering simulators that are currently being developed. Authors have understood how to represent the better agreement between results by both models, how to explain results in coupled model in more general sense, so we need to withdraw the manuscript and re-submit it in significantly updated form
Comment: Although the EP3D model was used in this study, the Planar3D model is a benchmark for engineering simulators that are currently being developed. Authors have understood how to represent the better agreement between results by both models, how to explain results in coupled model in more general sense, so we need to withdraw the manuscript and re-submit it in significantly updated form