Reservoir well (IPR) simulation

source — flow solved from the inflow performance relationship

Governing equations

The exact equations the solver works for a reservoir well (ipr) — the same math shown in the app's "Theory" panel, not a black box.

$q$

produced rate [mol/s]

$J$

productivity index [mol/s/Pa]

$P_r$

reservoir pressure [Pa]

$P_{wf}$

flowing bottomhole pressure [Pa]

$P_b$

bubble-point pressure [Pa]

$q_{max}$

absolute open flow — the reservoir's own ceiling [mol/s]

Parameters

reservoir_pressure [Pa]; deliverability as productivity_index [mol/s/Pa] OR a flow test (test_flow [mol/s] + test_pwf [Pa]); flowing_bottomhole_pressure [Pa] — what the facility imposes, and what sets the rate; composition {component: mole fraction}. Optional: bubble_point [Pa] (below it the IPR turns Vogel), temperature [K], pressure [Pa at the wellhead, where the produced stream is flashed].

Example flowsheets that use it