Decline Derivatives Functions
Bourdet rate derivative, beta derivative and the loss-ratio b-parameter from production data.
3 functions
PO.DCA.Diag.Bourdet(x_values, y_values, t, L)
Calculates the Bourdet (smoothed) derivative at point t. Used for flow regime identification and production diagnostics.
PO.DCA.Diag.Beta(time, rate, t, L)
Computes the beta diagnostic β = t×D(t) for flow regime identification. β≈0.5: linear flow, β≈0.25: bilinear, β≈1.0: boundary-dominated.
PO.DCA.Diag.bParam(time, rate, t, L)
Computes the time-varying Arps b-parameter. b=0: exponential, 0<b<1: hyperbolic, b=1: harmonic, b>1: transient (unconventional).