阶梯水平井生产段油藏渗流与井筒变质量管流的耦合模型

随着油气勘探和开发技术的迅猛发展，阶梯水平井作为水平井的一种特殊井型，日益在国内外油田得到广泛应用。基于势叠加原理和镜像反映原理，推导出了薄互层油藏中阶梯式水平井生产段的空间势分布；采用微元线汇理论和动量守恒定律建立了薄互层油藏阶梯水平井生产段沿程压降计算模型。推导出了裸眼完井方式下阶梯水平井生产段油藏渗流与井简变质量管流耦合的数学流动模型，并提出了相应的数学解法。

The flow model coupling reservoir percolation and variable mass pipe flow in production section of the stepped horizontal well

With the rapid development of exploration and exploitation technologies, as a special type of horizontal wells, the stepped type horizontal well is being applied extensively in the home and foreign oilfields. Based on the potential superposition theory and method of mirror, the potential spatial distribution of the stepped type horizontal well production section in the thin interbed reservoir are deduced. The analysis models of pressure drop along the production section of stepped horizontal well in the thin interbed reservoir are also established through the theory of infinitesimal line congruence and the law of conservation of momentum. At the end, the mathematic model of flow in the production section coupling reservoir percolation and variable mass pipe flow of stepped horizontal well with the openhole completion method.