▲环形裂缝群激发的渗流场之运动学分析_齐成伟

齐成伟

▲环形裂缝群激发的渗流场之运动学分析_齐成伟.pdf (436.85 KB, 下载次数: 10)

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▲环形裂缝群激发的渗流场之运动学分析_齐成伟

Kinematics Analysis on Velocity Field Excited by Fracture Source or Sink Groups Radially Distributed on an Annulus

Qi Chengwei

(Chongqing University of Science & Technology, Chongqing 401331, China)

Abstract: This paper presents a rigorous derivation and proof, in the Cartesian coordinate system, of the kinematic formula of fluid particles in a velocity field excited by a penetrating straight fracture source or sink with finite length in an infinite, isopachous and homogeneous horizontal formation. In it is also provided a new derivation process, in the streamline coordinate system, of the aforementioned formula on the basis of the general kinematic formula for steady flow velocity field. A comparison of the two derivation processes brings into focus the concision and elegance of the latter derivation approach. Also in the paper an approximate formula is established for kinematics of fluid particles in a velocity field excited by fracture source or sink groups radially distributed on an annulus, on the basis of the general kinematic formula for steady flow velocity field and Gauss-Legendre quadrature. Therefore, it can be concluded that the general kinematic formula for steady flow velocity field can serve as the theoretical basis for water flooding techniques.

Key words: fluid mechanics, fluid kinematics, mechanics of fluids in porous media, kinematics of fluids in porous media, water flooding front, time-position function, streamline coordinate system, tensor analysis