PO.MBE.Aq.Sch.We.SI


Description

Calculates cumulative water influx (Schilthuis) using trapezoidal integration, [m3]. We = C x integral(pi - p)dt (SI units).

Formula

=LAMBDA(C, Pi, pressures, times, LET( C_field, C * PO.UnitConverter(1, "psi", "kPa") / PO.UnitConverter(1, "bbl/d", "m3/d"), Pi_psi, PO.UnitConverter(Pi, "kPa", "psi"), pressures_psi, MAP(pressures, LAMBDA(p, PO.UnitConverter(p, "kPa", "psi"))), result_bbl, PO.MBE.Aq.Sch.We(C_field, Pi_psi, pressures_psi, times), MAP(result_bbl, LAMBDA(v, PO.UnitConverter(v, "bbl", "m3")))))

Parameters

Parameter Unit Description
C m3/d/kPa Aquifer constant, [m3/d/kPa]
Pi kPa Initial pressure, [kPa]
pressures kPa Reservoir pressures at each time step, [kPa] (array)
times days Times corresponding to pressures, [days] (array)

Examples

Invocation Expected
=PO.MBE.Aq.Sch.We.SI(0.001, 24132, {23443, 22754, 22064, 21375, 20685}, {0, 365, 730, 1095, 1460}) -1

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