US 9,810,045 B2
Connection conditions for modeling fluid transport in a well system environment
Avi Lin, Houston, TX (US); and Srinath Madasu, Houston, TX (US)
Assigned to Halliburton Energy Services, Inc., Houston, TX (US)
Filed by HALLIBURTON ENERGY SERVICES, INC., Houston, TX (US)
Filed on Aug. 27, 2013, as Appl. No. 14/11,349.
Prior Publication US 2015/0066446 A1, Mar. 5, 2015
Int. Cl. G06G 7/48 (2006.01); E21B 43/00 (2006.01); G06F 17/50 (2006.01); E21B 43/26 (2006.01)
CPC E21B 43/00 (2013.01) [E21B 43/26 (2013.01); G06F 17/5018 (2013.01); G06F 2217/16 (2013.01)] 26 Claims
OG exemplary drawing
 
1. A fluid flow modeling method comprising:
generating, by operation of data processing apparatus, a flow path connection condition for a flow path intersection in a one-dimensional flow model, the one-dimensional flow model representing fluid flow in a subterranean region, the flow path connection condition conserving fluid momentum among three or more flow path branches that meet at the flow path intersection according to:
Ai(Pi+ρUi2)=Aj(Pj+ρUj2)
where ρ represents a density of the well system fluid, Ai and Aj represent respective flow cross-sections of branches i and j, Pi and Pj represent respective fluid pressures in branches i and j, and Ui and Uj represent respective fluid velocities in branches i and j; and
simulating fluid flow in the subterranean region by operating the one-dimensional flow model based on the connection condition;
wherein an injection treatment control system selects or modifies fluid pressures, fluid densities, fluid compositions, and other control parameters based on data provided by the simulated fluid flow.