Geodesic
Some models of hydraulic shock in an oil-bearing layer
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 79-86

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We propose two mathematical models for determining pressure field distribution in a layer near a well during a hydraulic shock. The derivation of the models rests on a strict averaging of the exact equations describing the joint motion of solid ground and a viscous fluid filling the pores on a microscopic level.
Keywords: hydraulic fracturing, Stokes and Lamé equations, two-scale convergence. 
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     author = {I. V. Nekrasova},
     title = {Some models of hydraulic shock in an oil-bearing layer},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a8/}
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I. V. Nekrasova. Some models of hydraulic shock in an oil-bearing layer. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 79-86. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a8/