Gas Well Testing Handbook

Average reservoir pressures are used for characterizing a reservoir, computing its oil/gas in place, and predicting future behavior. In addition to these uses, the average reservoir pressure is required to find a quantitative use in volumetric-balance calculations of oil/gas in place in a reservoir. In this section we will present various methods to calculate average reservoir pressure in a gas reservoir.
The average reservoir pressure for a finite or bounded reservoir may be estimated as shown below using the values of m and ?
obtained from the Horner plot and the MBH curves.3 From Equation 6 21 for
,
where Eq. 6 22 is the defining equation ?
. The material balance equation may be written in terms of pseudopressure with substitution for dimensionless quantities as
Subtracting Eq. 6 22 from Eq. 6 24 gives
or
m is the absolute value of the slope of the straight-line section of the Horner plot:
F is the MBH dimensionless pressure at t DA, and the t DA is the dimensionless time:
t P is a pseudoproduction time in hours and is calculated using Eq. 6 17; ?( p*) is the value of ?( p ws) corresponding to
, from the extrapolated semilog straight line. F may be obtained from Table B 1 or Figures B 1 through B 5 corresponding to the appropriate well reservoir configuration and reservoir shape. Values of t DA may be calculated from Eq. 6 28.