Analysis de Presion by Alvarado

By Alvarado

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By Alvarado

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Condiciones de contorno en el pozo (en el límite de contorno) Las suposiciones hechas en el desarrollo de la ecuación son resumidas a continuación: PhD. Douglas Alvarado ESP Oil_Copyright_01-P35/The document is property of ESP Oil any reproduction is strictly forbidden and will be prosecuted 27 Programa de Adiestramiento 2004 1. Flujo radial hacia el pozo abierto sobre el espesor total del yacimiento. 2. Medio poroso isotrópico y homogéneo. 3. Yacimiento de espesor uniforme. 4. Porosidad y permeabilidad.

Diagrama esquemático de un pozo en un yacimiento radial mostrando los diferentes tipos de condiciones de contorno, para tasa de flujo constante. Adaptada de la referencia. F): ⎛ rd 2 ⎞⎤ 1⎡ ⎟⎥ pd = ⎢− Et ⎜⎜ − ⎟ 2 ⎣⎢ 4 t ⎥ D ⎠⎦ ⎝ (2-30) 1. Propiedades de la solución con CD = 0 y S = 0. 2. Para rD ≥ 25 use la Solución de la Línea Fuente para cualquier valor de rD (cualquier localización). 3. Empíricamente se ha demostrado que en un pozo de radio finito, rD = 1, y para CD = 0 y S = 0 a tiempos de de flujo muy pequeños (a los pocos segundos) se alcanza la condición de tD/rD = 25.

PhD. Douglas Alvarado ESP Oil_Copyright_01-P35/The document is property of ESP Oil any reproduction is strictly forbidden and will be prosecuted 42 Programa de Adiestramiento 2004 p D (s ) = ( ) ( ) ( ) ( ) [ ( ) ( ) ( ) ( )] I 0 reD s K 0 rD s − K 0 rD s I o rD s 23 / 2 I1 s K 0 reD s + k s I 0 reD s (2-66) Las condiciones de contorno interior e inicial son las mismas que para el caso de yacimiento infinito y yacimiento cerrado en el límite exterior. La condición de contorno exterior es p(re, t) = pi para cualquier tiempo t.

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