Modified Hyperbolic Functions
Hyperbolic decline switching to a terminal exponential at a limiting decline rate.
6 functions
PO.DCA.ModHyp.Rate(Qi, Di, Dlim, b, time)
Calculates rate using modified hyperbolic production decline curve. Units of volume {L3} and time {T} must be consistent.
PO.DCA.ModHyp.Prod(Qi, Di, Dlim, b, time)
Calculates cumulative production using modified hyperbolic production decline curve. Units of volume {L3} and time {T} must be consistent.
PO.DCA.ModHyp.Time(Qi, Di, Dlim, b, Q_econ)
Time to reach an economic rate limit for modified hyperbolic decline, {T}. Returns the time when the production rate falls to the specified economic limit.
PO.DCA.ModHyp.EUR(Qi, Di, Dlim, b, Q_econ)
Estimated Ultimate Recovery (EUR) to an economic rate limit for modified hyperbolic decline, {L3}. Returns cumulative production up to the time the rate reaches the economic limit.
PO.DCA.ModHyp.Fit(times, rates)
Fit Modified Hyperbolic decline to rate-time data and return parameters as a column array (Qi, Di, Dlim, b).
PO.DCA.ModHyp.WFit(times, rates, weights)
Weighted fit of Modified Hyperbolic decline to rate-time data and return parameters as a column array (Qi, Di, Dlim, b).