02-Radial Flow and Radius of Investigation

02-Radial Flow and Radius of Investigation - Radial Flow...

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Radial Flow and Radius of Investigation 1
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Radial Flow and Radius of Investigation 2 Upon completion of this section, the student should be able to: 1. Given formation and fluid properties, be able to calculate the radius of investigation achieved at a given time or the time necessary to reach a given radius of investigation. 2. Describe, without looking at the equation, how each of the following parameters affects the time required to reach a given radius of investigation: permeability, compressibility, viscosity, porosity, net pay thickness, flow rate.
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Radial Flow and Radius of Investigation 3 Assumptions – Single-phase liquid with constant μ , c, B – Formation with constant φ , h – Well completed over entire sand thickness – Infinite reservoir containing only one well – Uniform pressure in reservoir prior to production – Constant production rate q beginning at time t=0 – Homogeneous reservoir
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Radial Flow and Radius of Investigation 4 The Ei-function solution to the diffusivity equation assumes line source well (finite size of wellbore can be neglected). This solution is valid only for r > r w . It predicts the pressure response in the reservoir as a function of both time t and distance from the center of the wellbore r.
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Radial Flow and Radius of Investigation 5 The argument of the Ei-function, x, is given by: Short times or large distances large x Long times or short distances small x For short times, A, pressure response predicted by the Ei- function is negligible. For long times, B, pressure response may be calculated using the logarithmic approximation to the Ei-function. For intermediate times, C, the full Ei-function must be used to calculate the pressure response. kt r c 948 x 2 t μ φ =
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Radial Flow and Radius of Investigation 6 At any given point in the reservoir, at sufficiently early times, the pressure response is essentially negligible. This approximation applies whenever . 10 kt r c 948 2 t μ φ
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Radial Flow and Radius of Investigation 7 At any given point in the reservoir, at sufficiently late times, the pressure response is approximately logarithmic in time. This approximation applies whenever . 01 . 0 kt r c 948 2 t < φμ
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Radial Flow and Radius of Investigation 8 Consider the pressure profile in an infinite-acting reservoir during drawdown. At t = 0 the pressure is uniform throughout the reservoir.
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This note was uploaded on 04/05/2011 for the course PETE 689 taught by Professor Staff during the Spring '08 term at Texas A&M.

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02-Radial Flow and Radius of Investigation - Radial Flow...

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