关键词: 水平井, 稳态流动, 三维, 压力分布, 压力降, 井筒流动, 数学模型, 耦合

Abstract: In this paper,the 3D steady state pressure distribution of oil flow in a reservoir due to a horizontal well is derived for several cases of common reservoir type and a new formula of calculating pressure drop along the horizontal wellbore is also derived based on the principle of conservation of matter and momentum theorem.The effect of influx into the horizontal wellbore from the reservoir on pressure drop in the wellbore has been considered in the formula.A mathematical model coupling fluid flow in the reservoir with the flow in the horizontal wellbore is developed and the method for solving the model is presented.Example calculations showed that the precision of calculating productivity using the model is high,that performance of the well can be influenced by pressure drop in the horizontal wellbore,that the total well rate does not increase with increasing well length for lengths exceeding a certain value and that production index per unit length for every interval along horizontal well axis is not equal.

Key words: horizontal well, steady state flow, 3D, pressure distribution, pressure drop, well bore flow, mathematical model, coupling