Summary
Accurate calculation of multiphase-fluid transfer between the fracture and
matrix in naturally fractured reservoirs is a crucial issue. In this paper, we
will present the viability of the use of simple transfer functions to account
accurately for fluid exchange resulting from capillary, gravity, and diffusion
mass transfer for immiscible flow between fracture and matrix in dual-porosity
numerical models. The transfer functions are designed for sugar-cube or
match-stick idealizations of matrix blocks.
The study relies on numerical experiments involving fine-grid simulation of
oil recovery from a typical matrix block by water or gas in an adjacent
fracture. The fine-grid results for water/oil and gas/oil systems were compared
with results obtained with transfer functions. In both water and gas injection,
the simulations emphasize the interaction of capillary and gravity forces to
produce oil, depending on the wettability of the matrix.
In gas injection, the thermodynamic phase equilibrium, aided by
gravity/capillary interaction and, to a lesser extent, by molecular diffusion,
is a major contributor to interphase mass transfer. For miscible flow, the
fracture/matrix mass transfer is less complicated because there are no
capillary forces associated with solvent and oil; nevertheless, gravity
contrast between solvent in the fracture and oil in the matrix creates
convective mass transfer and drainage of oil.
Using the transfer functions presented in this paper, fracture- and
matrix-flow calculations can be decoupled and solved sequentially--reducing the
complexity of the computation. Furthermore, the transfer-function equations can
be used independently to calculate oil recovery from a matrix block.
© 2009. Society of Petroleum Engineers
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History
- Original manuscript received:
2 August 2007
- Meeting paper published:
11 November 2007
- Revised manuscript received:
28 May 2008
- Manuscript approved:
22 July 2008
- Published online:
15 April 2009
- Version of record:
15 April 2009