, Volume 43, Issue 2-4, pp 229-253

Mud removal and cement placement during primary cementing of an oil well – Laminar non-Newtonian displacements in an eccentric annular Hele-Shaw cell

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A two-dimensional model is derived of the displacement flows that occur during primary cementing of oil and gas wells. The displacement geometry is a long narrow eccentric annulus, between the casing and the rock formation. The model consists of a series of first-order convection equations for the fluid concentrations and a quasi-linear Poisson-type equation for the stream function. Coupling is through the velocity field and the concentration-dependent fluid properties.

A range of computed results from this model is presented. One simulation illustrates how a channel of mud can be left behind on the narrow side of the annulus. Another shows that stable steady-state displacements can occur, although conditions under which this occurs are not yet understood. A third simulation captures some of the complexity that occurs in realistic cementing operations.