Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heterogeneity Preserving Upscaling for Heat Transport in Fractured
  Geothermal Reservoirs   In simulation of fluid injection in fractured geothermal reservoirs, the
characteristics of the physical processes are severely affected by the local
occurence of connected fractures. To resolve these structurally dominated
processes, there is a need to develop discretization strategies that also limit
computational effort. In this paper we present an upscaling methodology for
geothermal heat transport with fractures represented explicitly in the
computational grid. The heat transport is modeled by an advection-conduction
equation for the temperature, and solved on a highly irregular coarse grid that
preserves the fracture heterogeneity. The upscaling is based on different
strategies for the advective term and the conductive term, respectively. The
coarse scale advective term is constructed from sums of fine scale fluxes,
whereas the coarse scale conductive term is constructed based on numerically
computed basis functions. The method naturally incorporates a coupling between
the matrix and the fractures via the discretization, so that explicit transfer
terms that couple solution variables in the fractures and the matrix are
avoided. Numerical results show that the upscaling methodology performs well,
in particular for large upscaling ratios, and that it is applicable also to
highly complex fracture networks.

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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: cmp-lg