PO.DCA.PLE.Time Function

Description:

Time to reach an economic rate limit for Power Law Exponential (PLE) decline, [T]. Returns the time when the production rate falls to the specified economic limit.

Excel Function Syntax:

=PO.DCA.PLE.Time(Qi0, Di0, Dinf, n, Q_econ)

Parameters:

Parameter	Description
Qi0	Rate "intercept", [L3/T].
Di0	Power-law decline coefficient, [1/T^n].
Dinf	Decline constant at "infinite time", [1/T]. D_inf <= Di_intercept
n	Time "exponent", [dimensionless].
Q_econ	Economic rate limit, [L3/T].

Related Functions

PO.DCA.AKB.D

Calculates instantaneous decline rate D(t) for Ansah-Knowles-Buba (2000) decline, [1/T]. Computed numerically.

PO.DCA.AKB.EUR

Estimated Ultimate Recovery (EUR) to an economic rate limit for Ansah-Knowles-Buba (2000) decline, [L3]. Returns cumulative production up to the time the rate reaches the economic limit.

PO.DCA.AKB.Fit

Fit Ansah-Knowles-Buba (2000) decline to rate-time data and return parameters as a row array [Qi, Alpha, Beta].

PO.DCA.AKB.Prod

Calculates cumulative production using Ansah-Knowles-Buba (2000) semi-analytical decline model for bounded reservoirs. Units of volume [L3] and time [T] must be consistent.

PO.DCA.AKB.Rate

Calculates production rate using Ansah-Knowles-Buba (2000) semi-analytical decline model for bounded reservoirs. Units of volume [L3] and time [T] must be consistent.

PO.DCA.AKB.Time

Time to reach an economic rate limit for Ansah-Knowles-Buba (2000) decline, [T]. Returns the time when the production rate falls to the specified economic limit.

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