谈Joshi水平井产量公式

Discussion on Joshi's Production Formula for a Horizontal Well

认为 Joshi在推导水平井的产量公式时 ,把水平井的流动视做向一个点汇的垂直流动与向一与水平井等长的垂直裂缝的水平流动的代数相加 ,这种简化处理是不对的 ,物理解释是牵强的 ,所给的水平井产量公式是错误的 .文中在保证地层内具有稳定流动的基础上 ,利用保角变换对顶底不渗透油藏中心有一口水平井的产量公式进行了重新推导 ,给出了水平井产量公式的修正公式 。

When he derived the production formula for a horizontal well, Joshi thought the flow in a horizontal well as the algebraic sum of a vertical flow converging to a point and a horizontal flow to one vertical fracture. The authors hold that this simplification is incorrect, and the explanation in physics is farfetched. Thus Joshi's formula is wrong. Under the condition of the steady flow, by means of conformal transformation, the authors derive a production formula of a horizontal well in the center of a reservoir, which is impermeable at the top and bottom of it. And it is explained by equivalent flow resistance method.