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The fluid flow within the fracture is then observed as a model in which it is a sequence of interior boundaries. The velocity in the fracture is modified to that within the matrix block. This is achieved by altering the equation coefficient of the time- dependent fluid flow Darcy’s law, to account for the relatively small resistance to flow on the fracture. (COMSOL Multiphysics 4.0 Model library) Hence equations and becomes where denotes the gradient operator restricted to the fracture’s tangential plane, is the fracture- storage coefficient, is the fractures permeability and is the fracture’s thickness. 2.2 Model representation using COMSOL 4.0 The conductive heat flow of the fluid can be represented by Figure 7[a], where at the inlet of the fracture there exists high pressure and temperature shown in red, and at the outlet there exist a lower pressure and temperature illustrated in blue. In Figure 7[b] the fracture is represented by four parallel slabs along the y-z axes. Furthermore, it shows discrete vertical decrease in temperature as the fluid travels from the inlet to outlet of the fracture. This decrease in temperature does not significantly affect the overall fluid temperature. It does assist to illustrate thermal distribution vertically across the parallel slabs. Figures 7[c] and 7[d] illustrate isosurfaces which show the contours of fluid pressure throughout the rock matrix. As mentioned before, Darcy’s law governs velocities in the block. The fluid moves from the inlet to the outlet along the fracture with a velocity field that is uniform across the block. Figure 7[d] in particular illustrates the velocity field of the fluid at an instantaneous point along the path that is perpendicular to the isosurfaces. The contour lines follow the fluid flow and are highly dense at the inlet and outlet of the discrete fracture, in addition, illustrating the parabolic shaped velocity field. Figure 7[a]: The conductive heat flow of the fluid throughout the rock matrix. Figure7[b]: Parallel slabs along the y-z axes across the rock fracture. Figure7[c]: The isosurfaces with contours of fluid pressure.PDF Image | CONCEPTUAL MODEL FOR GEOTHERMAL ENERGY CARIBBEAN
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