Flux Corrected Transport Solver For Solving 1D
Multiphase Equations For Drilling Applications
Author(s)
P. A. Varadarajan & P. S. Hammond
Abstract
A numerical solver is designed and implemented to solve a simplified set of
equations modeling 1D multi-phase flow for the oil and gas drilling industry.
The main motivation of this work is to capture the key features of kicks taken
while drilling vertically using an oil based mud. The physical setup of a two fluid
two phase (liquid and vapour phase) flow with solubility of one component is
considered. A numerical method is devised to solve the system using the finite
volume strategy. The difficulty in obtaining the analytical Jacobian of the fluxes
leads to the decreased accuracy in capturing the contact wavefront. To address
this issue a fully explicit second order numerical solver based on Flux corrected
transport (FCT) is implemented. The code is validated and the physical test cases
of gas injection inside the well annulus and shut-in of the well are presented. The
results conclude that the FCT solver is a better and efficient method for multiphase
models involving slip velocities given by algebraic relations.
Keywords: multiphase flow, kicks, drilling, explicit numerical solver, finite volume
method, flux corrected transport, algebraic slip law, contact wavefronts.
Keywords
Keywords: multiphase flow, kicks, drilling, explicit numerical solver, finite volume
method, flux corrected transport, algebraic slip law, contact wavefronts.
Related Book
Other papers in this volume
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