Material Balance by Joo Tank Model & History Matching

—

Model Identification

Model name

Tanks

Tank name

Initial pressure Pi psia

Production share % of field

Allocation total—

Tank Connections

Transmissibility drives flow between tanks: q = T·(p_a − p_b).

Fluid & PVT shared

Reservoir temp. T °F

Bubble point Pb psia

Oil FVF at Pi Boi rb/stb

Solution GOR Rsi scf/stb

Oil compressibility co 1/psi

Gas deviation factor z

Water FVF Bw rb/stb

Derived Bgi—

Derived Bob—

Drive Mechanism tank

Gas cap ratio m GIIP·Bgi / N·Boi

Connate water Swc fraction

Formation compr. cf 1/psi

Water compr. cw 1/psi

Aquifer tank

Aquifer model

Aquifer strength J MMrb / psi · We = J · (Pi − p)

Influx constant C MMrb / (psi·day) · dWe/dt = C·Δp

Aquifer volume Wi MMrb

Productivity index J rb / (day·psi)

Permeability k md

Porosity φ fraction

Water viscosity μw cp

Reservoir radius ro ft

Aquifer thickness h ft

Encroachment angle θ degrees

Aquifer total compr. ct 1/psi

History Match Regression

Select the parameters to fit. The solver minimises pressure RMSE against the observed history.

Forecast Assumptions

Forecast period months

Abandonment pressure psia

Oil rate Mstb/day

Gas rate MMscf/day

Water rate Mstb/day

Method

Material Balance by Joo — Report

—

Estimated OOIP

—

MMstb

Last observed pressure

—

psia · end of history

History match RMSE

—

psi · pressure residual

Forecast recovery factor

—

at end of forecast

Cumulative water influx

—

MMrb · We

Pressure History Match

observed vs. model

Cumulative Production

history + forecast

History Forecast

Run the analysis to see match diagnostics.

Date	Cum. oil	Pressure	Water influx	Recovery	Status
Run the analysis to see the forecast.

Tank	OOIP	Share	Final p	Cum. We	Net transfer	Recovery	Aquifer	Status
Run the analysis to see per-tank results.

Net transfer is cumulative volume received from connected tanks; negative means the tank has been feeding its neighbours. Across all tanks it sums to zero.

Plot