Effect of Pressure in a Well With a Vertical Fracture With Variable Conductivity and Skin Fracture

Abstract

TX 75083-3836, U.S.A., fax 01-972-952-9435. AbstractA mathematical model was developed to study the behavior of a well with variable finite-conductivity and skin fracture, for a vertical fracture in an infinite slab reservoir.The solution is valid for slightly compressible fluid and gas fluid applying the pseudo-pressure concept. The constant rate with wellbore storage and constant pressure are the production modes considered. Curves type are used to showsthe effect of the changes of conductivity and skin near the well and in the extreme of the fracture. A field test was analyzed to detect the changes of the properties. This model is a tool to analyze real cases when the fracture properties are affected during the productive life of the well.

A Semianalytical Solution of a Vertical Fractured Well With Varying Conductivity Under Non-Darcy-Flow Condition

“…It is shown that results from our solutions agree very well with those reported in the literature (Guppy et al 1982;Poe et al 1992). In this study, we focus on the latter two issues by proposing a semianalytical solution to discuss the transient-pressure behaviors of a varying-conductivity fracture under non-Darcy-flow condition.…”

“…To account for the high-velocity flow in the fracture, the following Forchheimer equation will be used (Guppy et al 1982): To account for the high-velocity flow in the fracture, the following Forchheimer equation will be used (Guppy et al 1982):…”

“…where v is flow velocity in the fracture, q is fluid density, and the term b is called the "b factor" (Guppy et al 1982). Eq.…”

“…To analyze the effect of non-Darcy flow in the fracture, the following dimensionless flow-rate constant was defined by Guppy et al (1982):…”

“…To validate the new method, the transient-pressure solutions obtained in this study are compared with other semianalytical models reported in the literature (Poe et al 1992) and with the results of a finite-difference reservoir simulator (Guppy et al 1982).…”