To improve the productivity of oil wells, perforation technology is usually used to improve the productivity of horizontal wells in oilfield exploitation. After the perforation operation, the perforation channel around the wellbore will form a near-well high-permeability reservoir area with the penetration depth as the radius, that is, the formation has different permeability characteristics with the perforation depth as the dividing line. Generally, the permeability is measured by the permeability tester, but this approach has a high workload and limited application. In this paper, according to the reservoir characteristics of perforated horizontal wells, the reservoir is divided into two areas: the original reservoir area and the near-well high permeability reservoir area. Based on the theory of seepage mechanics and the formula of open hole productivity, the permeability calculation formula of near-well high permeability reservoir area with perforation parameters is deduced. According to the principle of seepage continuity, the seepage is regarded as the synthesis of two directions: the horizontal plane elliptic seepage field and the vertical plane radial seepage field, and the oil well productivity prediction model of the perforated horizontal well is established by partition. The model comparison demonstrates that the model is reasonable and feasible. To calculate and analyze the effect of oil well production and the law of influencing factors, actual production data of the oilfield are substituted into the oil well productivity formula. It can effectively guide the technical process design and effect prediction of perforated horizontal wells.
KEYWORDSPerforated horizontal well; permeability; productivity model; sensitivity analysis Designation K 1 Original formation permeability, μm 2 K 2 Permeability of perforation zone, μm 2 r e Supply boundary radius, m r w Wellbore radius, m r p Perforation radius, m r 1 Wellbore radius converted by perforation completion, m r 2 Wellbore radius converted by perforation completion, m r 0 Circular isobaric radius, m L p Perforation length (perforation depth), m n Perforation density, hole/m q Borehole well production, m 3 /d p wf Bottom hole flowing pressure, MPa p e Boundary pressure, MPa h Formation thickness, m μ Formation crude oil viscosity, mPa•s B Crude oil conversion coefficient, underground/ground tons θ Perforation phase angle a Horizontal elliptical seepage field long semi-axis of horizontal well, m b Horizontal elliptical seepage field short half axis of horizontal well, m L Horizontal section length of perforated horizontal well, m Q Perforated horizontal well productivity, m 3 /d p 1 Boundary pressure of horizontal well near wellbore area, MPa p 2 Circular isobaric boundary pressure, MPa p 3 Boundary pressure of outer edge of near-well high permeability reservoir area, MPa