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电潜单螺杆泵广泛应用于稠油、高凝油、高含蜡油、高含砂油及高含气油等特种油藏开采作业中。在影响单螺杆泵采油效果的各种因素中,加工工艺是首要因素。使用摆线型及旋弦线等方法设计出来的单螺杆泵在实际生产应用中经常出现封闭性不好等缺点。为了优化单螺杆泵的设计,提出了使用三角函数和式来表征衬套和转子曲线的新方法。使用微分几何方法推导出了衬套和转子方程中三角函数和式系数所满足的多元方程组,提出了求解该方程组的准则和方法。该方程组含有多个可以调整的自由参数,通过调整这些参数达到优化设计的目的。给出了具体算例,求取了转子参数方程和衬套参数方程,并绘制了转子曲线和衬套曲线。算例的结果证明该方法有效。生产实际应用表明,使用本文新方法优化设计的单螺杆泵可以最大限度地提高衬套与转子之间的封闭性。
Submersible single screw pump is widely used in heavy oil, high pour point oil, high wax oil, high sand oil and high gas oil and other special oil reservoir operations. In a variety of factors that affect the single screw pump oil production, processing technology is the primary factor. The use of cycloid-type and rotary string and other methods designed single-screw pump in the actual production of applications often appear to be closed, and other shortcomings. In order to optimize the design of single screw pump, a new method for characterizing bushing and rotor curves using trigonometric functions and equations was proposed. Derivation of the multivariate equations satisfied by the trigonometric functions and the coefficients of the bushing and rotor equations using the differential geometry method and the criteria and methods for solving the equations are presented. The equation contains a number of free parameters that can be adjusted to optimize the design by adjusting these parameters. The concrete example is given, the rotor parameter equation and the bushing parameter equation are obtained, and the rotor curve and bushing curve are drawn. The result of the example proves that this method is effective. The practical application shows that the single-screw pump optimized with the new method of this paper can maximize the sealing between the bushing and the rotor.