圆柱形供油体内水平井压力降落的数学模型

Pressure Drop Math Model for Horizontal Wells in a Circular Cylinder Drainage Volume

基于在圆柱形供油体内的三维空间点汇的非稳态压力降落公式,将水平井视为均匀线汇,利用压力叠加原理,通过推导得到了相应的水平井非稳态压力降落公式.与文献中已有的公式相比,提供的新公式是基于三维数学模型,推导严密,不包含无穷级数求和,简单实用,而且当油井生产时间很短或很长的时候,新公式就更加简化.

A convenient model to represent the pressure behavior in a horizontal well is one that assumes no pressure drop in its interior during production. This means that pressure is uniform along the wellbore face, and the well is said to have infinite conductivity. In this paper, the uniformflux model is applied, which assumes that the flow rate, instead of the pressure,