Geodesic
An algorithm for joint modeling of filtration and geomechanical processes in the well bore zone
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 53-65.

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We design an algorithm for joint modeling of filtration and geomechanical processes developing in the well bore zone during drilling. We describe geomechanical processes in the framework of linear elasticity theory with pore pressure. For the first time we explicitly account for the formation and dynamics of wall cake. The algorithm, based on the finite element method, enables us to study the variation of the strained and deformed state of the porous medium and pore pressure as the drilling fluid permeats the medium.
Keywords: drilling, well bore zone, strained and deformed state, pore pressure, drilling fluid filtration, wall cake. 
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A. V. Manakov; V. Ya. Rudyak. An algorithm for joint modeling of filtration and geomechanical processes in the well bore zone. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 53-65. http://geodesic.mathdoc.fr/item/SJIM_2012_15_1_a5/

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