SPE Journal
Volume 16,
Number 2,
June 2011,
pp. 374-387
Summary
A Green's function formulation for flow to a well in a reservoir of a
composite structure with each internally homogeneous subreservoir arranged
contiguously is presented. The formulation is then used to derive source
functions. Attention is focused on line and point sources, with a view to
consider fractured and horizontal wells. Matching flow conditions are applied
at the subreservoir interfaces, and contact resistances are included. Our
approach to working the problem results in a scheme that is efficient from a
computational perspective, an essential requirement for processing the inverse
problem. The algorithm is presented in terms of the Laplace transformation.
Results obtained by the algorithm given here are compared with solutions given
in the literature, and the viability of the technique is demonstrated.
© 2010. Society of Petroleum Engineers
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History
- Original manuscript received:
23 December 2009
- Revised manuscript received:
10 July 2010
- Manuscript approved:
14 July 2010
- Published online:
6 January 2011
- Version of record:
17 June 2011