Well Indices for Non Conventional Wells

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Abstract/Contents

Abstract
Wells are generally all treated in the same fashion in a numerical simulator: they are modeled with Peaceman's formula. However, when D. W. Peaceman derived his equation, he showed that its use should be limited to special cases, basically corresponding to vertical wells with no interactions with the boundaries or other wells. With nothing easy to use being available, more original wells, like horizontal or slanted wells, are also modeled with this same formula, even though the basic assumptions are violated.A new well model was developed for any well in a parallepipedic reservoir. It is based on an accurate computation of the single phase productivity index. The three dimensional single phase pressure equation is solved in a semi-analytical fashion. Combining the analytical results with the results provided by a numerical simulation of the same case, leads to a more appropriate well index. This well index is then used to provide well transmissibilities to the simulator for each grid-block.The well index can be used to compute the effective well radius. This radius has been computed for different geometries and different times. It appears that the value of the effective well radius can he quite different for some geometries from the basic one used by commercial simulators, particularly when the well is not parallel to any plane of coordinates. Moreover the effective radius varies over time in the transient period, which can be significant for low permeability reservoirs.In the examples studied, the correction for well transmissibilities made only a minor difference.

Description

Type of resource text
Date created June 1996

Creators/Contributors

Author Maizeret, Pierre-David
Primary advisor Aziz, Khalid
Degree granting institution Stanford University, Department of Petroleum Engineering

Subjects

Subject School of Earth Energy & Environmental Sciences
Genre Thesis

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User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.

Preferred citation

Preferred Citation
Maizeret, Pierre-David. (1996). Well Indices for Non Conventional Wells. Stanford Digital Repository. Available at: https://purl.stanford.edu/jt514ks5365

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Master's Theses, Doerr School of Sustainability

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