Well-bore clogging of a pumping well in hydraulic interference with an ambient groundwater flow: the Strack-Kostitsina refraction problem in an annular composite redux | Colmatage d’un puits de pompage en interférence hydraulique avec un écoulement d’eau souterraine environnante: le problème de réfraction de Strack-Kostitsina dans un redux composite annulaire Obstrucción de perforaciones de un pozo de bombeo en interferencia hidráulica con un ambiente de flujo de agua subterránea: el problema de refracción de Strack-Kostitsina en un compuesto anular redux 泵送井的井筒堵塞与环境地下水流动的水力干扰:环形复合材料还原中的Strack-Kostitsina折射问题 Colmatação do furo do poço de um poço de bombeamento na interface com um ambiente de fluxo de águas subterrâneas: o problema da refração Strack-Kostitsina em uma redução complexa anualar
2018
Kacimov, A. R. | Obnosov, Yu. V.
Explicit expressions for the vector fields of specific discharge and scalar fields of stream functions and piezometric heads in a Darcian steady-state essentially two-dimensional (2-D) flow through a three-component composite representing a vertical or horizontal well with a gravel pack and annular skin are obtained and analysed. The refraction conditions along two concentric circles, which represent interfaces between three porous media of contrasting hydraulic conductivities, are exactly satisfied. Flow nets, isotachs, the locus of the stagnation point bounding the capture zone of the well, and functionals quantifying area-averaged hydraulic characteristics are found. The flow topology and drawdowns near the well illustrate that at small pumping rates a common concept of a purely radial 1-D flow can be superficially plausible but misleading.
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