WATERFLOODING FRONT MOVING TASK IN DUAL PERIODICAL AREA: PISTON-LIKE DISPLACEMENT CASE

Water-oil contact moving task has a high significance in a waterflooding the- ory: it’s possible to improve oil recovering characteristics due to prediction of flow features for both liquids - oil and water displaced it. There is the simplest mathematical pattern for conjoint oil-water flow presenting: it is called ”versi- color” liquids model and it suggests making oil and water physically identical to simplify solving process for water-oil contact moving task. However, another pattern was used in research described in this paper: it is called pistonlike dis- placement model and it supposes that oil and water physical characteristics, for example, viscosities, may be different. As for the oil-keeping reservoir pattern used in this research it was presented as homogeneous and infinity, with fixed thickness: furthermore its surface was covered by dual periodical lattice included production and injection wells in its cells.

заводнение, поршневое вытеснение нефти водой, во- донефтяной контакт, фронт заводнения, задача трассировки, сингулярный интеграл, дзета-функция Вейерштрасса, коэффициент охвата по площади, время прорыва воды,