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Additional info for Oil Well Testing Handbook
Substituting this in Eq. 2-13d, we obtain (2-13e) (2-13f) where tpss is the time to reach pseudo-steady state. Generally, oil wells are developed on 40-acres spacing and gas wells are developed on 160-acres spacing. 9696 x 106ft2 Eqs. 2-13e and 2-13f show that transient time depends on the basic reservoir properties such as k,
Analytical solutions of this equation are obtained under various boundary and initial conditions for use in well testing and well inflow performance calculations. Various Dimensional Flow Geometry Eq. 2-19 may be expressed in terms of linear, cylindrical, or spherical coordinates. (2-20) where V2/? is the Laplacian of p. Expression "one-dimensional" referred to a specified coordinate system? Linear Flow Flow lines are parallel, and the cross-sectional area offlowis constant and represented by Eq.
Then, at this radius r: where position q0 is in the positive r-direction. , in the negative r-direction, or toward the wellbore. Also it is customary to express q in surface units rather than reservoir units. Then, Eq. 2-1 becomes (2-2) Frequently, the two radii of interest are the wellbore radius rw and the external or drainage radius re. Then, Eq. , p = p at r = re)\ (2-4) For linear geometry: (2-5) For hemispherical geometry: (2-6) For 5-spot waterflood: (2-7) For 7-spot waterflood: (2-8) To calculate undamaged permeability around the wellbore, pressure drop (Ap)skin (negative), due to damage or improvement could be incorporated into the above equations as (2-9) Practical Applications Steady-state equations may be used without any significant error to analyze near the wellbore reservoir conditions, even in an unsteady-state system.