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Mathematical notes of NEFU, 2019 Volume 26, Issue 1, Pages 93–105 (Mi svfu247)

Mathematical modeling

A coupled dual continuum and discrete fracture model for subsurface heat recovery with thermoporoelastic effects

D. A. Ammosova, M. V. Vasilyevabc, M. Babaeid, E. T. Chunge

a Multiscale model reduction laboratory, North-Eastern Federal University, Yakutsk 677980, Russia
b Department of Computational Technologies, North-Eastern Federal University, Yakutsk 677980, Russia;
c Institute for Scientific Computation, Texas AM University, College Station, TX 77843-3368
d The University of Manchester, School of Chemical Engineering and Analytical Science, Manchester, M13 9PL, UK
e Department of Mathematics, The Chinese University of Hong Kong (CUHK), Hong Kong SAR

Abstract: We consider heat recovery from geothermal fractured resources with thermoporoelastic effects. To this end, a hierarchical fracture representation is considered, where small-scale highly connected fractures are represented by the classical dual porosity model whereas large scale dense fractures are represented by the discrete fracture model. The mathematical model is described by a system of equations for mass and heat transfer for coupled dual continuum model as well as discrete fractures. Geomechanical deformations are written in the general form. For numerical solution of the resultant coupled system of equations including multicontinuum temperatures, pressures and deformations, we use the finite-element method. Numerical results are presented for two- and three-dimensional examples, showing applicability of the proposed method.

Keywords: thermoporoelasticity, heat recovery, double porosity and double permeability, dual continuum, discrete fracture model, finite element method, mathematical modeling.

UDC: 519.63

Received: 29.11.2018
Revised: 28.12.2018
Accepted: 01.03.2019

Language: English

DOI: 10.25587/SVFU.2019.101.27250



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