Summary
Currently in the oil industry, pseudosteady-state productivity equations for
a multiple-wells system are used in all reservoir systems, regardless of the
outer boundary conditions. However, if the reservoir is under edgewaterdrive,
pseudosteady state is no longer applicable. When the producing time is
sufficiently long, productivity equations based on the steady state are
required.
This paper presents steady-state productivity equations for a multiple-wells
system in homogeneous, anisotropic sector fault reservoirs. Taking fully
penetrating vertical wells as uniform line sinks, and solving a square matrix
of dimension n, where n is the number of wells, simple,
reasonably accurate multiple-wells-system productivity equations are obtained.
The proposed equations relate the production-rate vector to the
pressure-drawdown vector and are applicable to a multiple-wells system, which
is located arbitrarily in a sector fault reservoir. The analytical solutions
are verified with reservoir numerical simulation in several examples. This
paper also gives an equation for calculating skin factors of each well in
steady state.
The analytical solutions perform well and match well with numerical
solutions, and the benefit of the analytical model can be emphasized when the
reservoir data deviate from their idealistic representation. It is concluded
that the proposed equations provide a fast analytical tool to evaluate the
performance of a multiple wells system in a sector fault reservoir.
© 2010. Society of Petroleum Engineers
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History
- Original manuscript received:
24 November 2008
- Meeting paper published:
16 March 2008
- Revised manuscript received:
21 September 2009
- Manuscript approved:
3 December 2009
- Published online:
9 June 2010
- Version of record:
22 June 2010
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