Examination of Ozkan & Raghavan Laplace Space Fracture Solutions
Abstract/Contents
- Abstract
- This report presents the results of the simulation of a uniform flux, or infinite conductivity, vertically fractured well by a line source model. The results were incorporated in a numerical algorithm which determines, for a given dimensionless time, the associated dimensionless pressure drop of a vertically fractured well, with or without wellbore storage and skin, in an infinite or bounded, homogeneous, isotropic reservoir.Previously, no algorithm had been available which determines the pressure drop at any point in an infinite reservoir, away from a vertically fractured well while taking wellbore storage and skin into consideration. Such calculations are necessary if the pressure needs to be predicted during interference testing or during pseudosteady state flow periods when one or more reservoir boundaries influence the pressure drop in the well.Analytical Laplace solutions for vertically fractured wells, published in 1989 by Ozkan and Raghavan[4], are used in the algorithm to determine the pressure drop inside the fracture. The pressure drop outside the fracture is determined by simulating the fracture by a number of line source wells and superposing the individual line source pressure drops. The required number of line source wells to simulate the fracture was determined by comparing the line source pressure drop to Gringarten, Ramey and Raghavanís[2] Greenís function solutions. The infinite conductivity solution of the image fractures was obtained by adjusting the uniform flux line source dimensionless pressure drops according to the time dependent flux profile inside the image fractures. The flux profile was obtained from the semi-analytical Cinco, Samaniego andDominguez[S] solution.The numerical algorithm can be PC or mainframe based. Storage and skin are incorporated. The maximum error of the result is less than 1% for a dimensionless pressure drop greater than and a minimum reservoir boundary distance of two fracture half-lengths from the center of the fracture.
Description
| Type of resource | text |
|---|---|
| Date created | June 1992 |
Creators/Contributors
| Author | Kruijssen, Theodorus Adrianus |
|---|---|
| Primary advisor | Horne, Roland N. |
| Degree granting institution | Stanford University, Department of Petroleum Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
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Preferred citation
- Preferred Citation
- Kruijssen, Theodorus Adrianus. (1992). Examination of Ozkan & Raghavan Laplace Space Fracture Solutions. Stanford Digital Repository. Available at: https://purl.stanford.edu/fv784pr2639
Collection
Master's Theses, Doerr School of Sustainability
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