Summary
This paper first establishes a comprehensive semianalytical model for a
horizontal well in a homogeneous, dual- or triple-porosity reservoir. By taking
a negative-skin approach, including Laplace transform, separation of variables,
and inverse Laplace transform, we obtain the solutions in a unified formula for
both constant-rate production and constant-wellbore-pressure production. In the
model, we consider a set of rich boundary conditions, including infinite
reservoir and closed or constant-pressure boundary conditions for the top,
bottom, and side of the bounded reservoir. Consequently, we plot a series of
new standard log-log type curves and make a clear observation of different flow
periods (e.g., early radial flow, hemiradial flow, linear flow, and late
pseudoradial flow) from negative-skin type curves. We make a comparison between
the solutions using the negative-skin approach and conventional solutions,
which shows that there are some small differences between the two methods. We
also analyze the type-curve characteristics for horizontal-well production in
dual- and triple-porosity reservoirs, which shows that the derivative curves
are V-shaped for dual media and W-shaped for triple media. Finally, we perform
well-test interpretations for a horizontal well with positive skin and a
horizontal well with negative skin and bottomwater, which shows that our new
model performs well against the real field data.
© 2012. Society of Petroleum Engineers
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History
- Original manuscript received:
23 November 2010
- Revised manuscript received:
6 March 2012
- Manuscript approved:
13 June 2012
- Published online:
24 July 2012
- Version of record:
7 August 2012
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