Classic Decline Models Functions
Arps exponential, hyperbolic and harmonic decline, plus the modified hyperbolic terminal-decline variant.
12 functions
PO.DCA.Arps.Rate(Qi, Di, b, time)
Calculates rate using Arps (1945) decline curve, {L3/T}. Units of volume {L3} and time {T} must be consistent. Use b=0 for exponential, 0<b<1 for hyperbolic, b=1 for harmonic.
PO.DCA.Arps.Prod(Qi, Di, b, time)
Calculates cumulative production using Arps (1945) decline curve, {L3}. Units of volume {L3} and time {T} must be consistent. Use b=0 for exponential, 0<b<1 for hyperbolic, b=1 for harmonic.
PO.DCA.Arps.Time(Qi, Di, b, Q_econ)
Time to reach an economic rate limit for Arps decline, {T}. Returns the time when the production rate falls to the specified economic limit.
PO.DCA.Arps.EUR(Qi, Di, b, Q_econ)
Estimated Ultimate Recovery (EUR) to an economic rate limit for Arps decline, {L3}. Returns cumulative production up to the time the rate reaches the economic limit.
PO.DCA.Arps.Fit(times, rates)
Fit Arps decline to rate-time data and return parameters as a column array (Qi, Di, b).
PO.DCA.Arps.WFit(times, rates, weights)
Fit Arps decline to rate-time data with weights and return parameters as a column array (Qi, Di, b).
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).