Numerical Solution of Multiphase Well Flow

by William Brutsaert, Asst. Prof. of Ground Water Hydrology; New Mexico Inst. of Mining and Tech., Socorro, NM,

Serial Information: Journal of the Hydraulics Division, 1973, Vol. 99, Issue 11, Pg. 1981-2001

Document Type: Journal Paper


A method is presented for numerically solving immiscible multiphase well flow considering three compressible fluids, two liquids, and one gas, and assuming isothermal conditions. Capillary and dissolution of gas in liquid are considered in the proposed mathematical model. Numerical difficulties arising from the nonlinearity of the equations and from the finite differencing in cylindrical coordinates are easily dealt with by using a modified Newton method to solve the fully implicit finite difference equations. Coning problems in the petroleum industry and unconfined flow problems in hydrology are typical applications.

Subject Headings: Numerical methods | Wells (water) | Fluid flow | Wells (oil and gas) | Natural gas | Compression | Gas flow | Thermal effects

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