Mathematical Models of a Hydraulic Shock in a Slightly Viscous Fluid

A. M. Meirmanov; I. V. Nekrasova

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Mathematical Models of a Hydraulic Shock in a Slightly Viscous Fluid

机译：轻微粘性流体中液压冲击的数学模型

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In this paper, two mathematical models are derived which determine the distribution of the pressure field in the layer near a borehole under hydraulic shock. The derivation of the models is based on rigorous averaging of the equations describing, at the microscopic level, the joint motion of a rigid soil skeleton and viscous fluid filling the pores in the soil.

机译：本文推导了两个数学模型，它们确定了液压冲击作用下井眼附近层中压力场的分布。模型的推导基于方程的严格平均，这些方程在微观水平上描述了刚性土壤骨架和填充土壤孔隙的粘性流体的联合运动。

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《Mathematical models and computer simulations》 |2012年第6期|共14页
作者
A. M. Meirmanov; I. V. Nekrasova;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
hydraulic shock; Stokes and Lame equations; two-scale convergence;

机译：水力冲击;斯托克斯和莱姆方程;两尺度收敛;

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专利

1. Mathematical Models of a Hydraulic Shock in a Slightly Viscous Fluid [J] . A. M. Meirmanov, I. V. Nekrasova Mathematical models and computer simulations . 2012,第6期

机译：轻微粘性流体中液压冲击的数学模型
2. INVESTIGATION OF THE PRESSURE DISTRIBUTION IN A FLOW OF A VISCOUS FLUID IN A PIPELINE UNDER HYDRAULIC-SHOCK CONDITIONS WITH ACCOUNT FOR THE RELAXATION PROPERTIES OF THE FLUID [J] . I. V. Kudinov, V. A. Kudinov Journal of engineering physics and thermophysics . 2014,第2期

机译：考虑液体的松弛特性的管道在液压冲击条件下的粘性流体流动中压力分布的研究
3. ON SOLVABILITY OF SOME INITIAL-BOUNDARY PROBLEMS FOR MATHEMATICAL MODELS OF THE MOTION OF NONLINEARLY VISCOUS AND VISCOELASTIC FLUIDS [J] . V. G. Zvyagin Journal of Mathematical Sciences . 2004,第5期

机译：粘性和粘弹性流体运动的数学模型的一些初边界问题的可解性
4. Modelling the effect of injection system compressibility and viscous fluid flow on hydraulic fracture breakdown pressure [C] . A.P. Bunger, A. Lakirouhani, E. Detournay Rock stress and earthquakes. . 2010

机译：模拟注入系统的可压缩性和粘性流体流量对水力压裂破裂压力的影响
5. MATHEMATICAL MODELING AND ANALYSIS OF MECHANISMS ASSOCIATED WITH THE PROPAGATION OF HYDRAULICALLY INDUCED FRACTURES IN PORO-ELASTIC MEDIA (POROUS MEDIA, ELLIPTICAL, POWER LAW FLUIDS, RADIAL, VARIATIONAL FORMULATION). [D] . TOROK, JOSEPH STEVEN. 1985

机译：与多孔弹性介质（多孔介质，椭圆形，幂律流体，径向，变化公式）中的水力诱导断裂传播的机理的数学建模和分析。
6. Shock-induced bubble jetting into a viscous fluid with application to tissue injury in shock-wave lithotripsy [O] . J. B. Freund, R. K. Shukla, A. P. Evan -1

机译：冲击波将气泡喷射到粘性流体中并应用于冲击波碎石术中的组织损伤
7. Asymptotics Toward the Viscous Shock Wave to an Inflow Problem in the Half Space for Compressible Viscous Gas (Mathematical Analysis in Fluid and Gas Dynamics) [O] . Huang Feimin, Matsumura Akitaka, Shi Xiaoding 2002

机译：在可压缩粘性气体的半空间中，将粘性冲击波渐近趋于流入问题的渐近性（流体和气体动力学的数学分析）
8. Mathematical Model for the Study of Hemorrhagic Shock and Fluid Resuscitation:Exchange of Fluid and Solutes between Vascular, Interstitial, and Tissue Cell Compartments [R] . Doherty, T. J. 1993

机译：失血性休克和液体复苏研究的数学模型：血管，间质和组织细胞室之间的液体和溶质的交换

Mathematical Models of a Hydraulic Shock in a Slightly Viscous Fluid

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