西南石油大学学报(自然科学版) ›› 2018, Vol. 40 ›› Issue (3): 115-120.DOI: 10.11885/j.issn.1674-5086.2017.11.04.01

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Analysis and Application of Two-dimensional Steady-state Porous-flow Fields of Horizontal Wells

XUAN Jian   

  1. Exploration and Development Research Institute, Shengli Oilfield Branch, SINOPEC, Dongying, Shandong 257000, China
  • Received:2017-11-04 Online:2018-06-01 Published:2018-06-01

Abstract: Two-dimensional porous-flow fields of horizontal wells were transformed to two-dimensional porous-flow fields of straight wells by performing conformal transformation, to analyze two-dimensional steady-state porous-flow fields of horizontal wells. A parametric equation for porous-flow velocity in two-dimensional steady-state porous-flow fields of horizontal wells was derived and was used together with an equation for computing the capacity of horizontal wells to optimize the length and direction of horizontal sections of horizontal wells. The relative positioning of horizontal wells and straight water-injection wells was optimized by graphically rendering the streamline distribution of one-injection-one-production well patterns of different combinations of positioning of horizontal wells and straight water-injection wells. The results show that the length of production sections of horizontal wells for normal thin-layer oil reservoirs should be less than 100 m. When horizontal wells are used to recover oil reservoirs with gas caps or edge water, the horizontal sections should be parallel to the structural line of the reservoir to keep the direction of the main streamlines of the two-dimensional porous-flow fields of horizontal wells away from the direction of gas channeling and edge water coning. For one-injection-one-production well patterns consisting of horizontal wells and straight water-injection wells, a comparison against the graphical flow field distribution reveals that the optimum position of straight water-injection wells is on the perpendicular bisector of horizontal wells.

Key words: conformal transformation, porous flow, horizontal well, streamline, well pattern

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