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斜井、水平并是石油天然气资源勘探开发的一个根有发展前景的工艺技术，特别是对非均质油、气藏及地理环境复杂的油、气田，更是具有高效率、高效益的技术。斜井进行砾石充填防砂完井作业时存在以下问题：①砾石在尚未填满整个空间时，易沉淀，形成“桥堵”；②携砂液易流入地层造成地层伤害，同时携砂液的滤失又会造成“桥堵”；③在砾石尚未充填满时，井眼易垮塌。为此，根据动量宁恒、质量守恒原理，在充分考虑影响斜并砾石充填的诸因素的基础上，将斜井砾石充填过程抽象成数学模型。给出了模型预测的理论依据和计算公式，并进行了计算机模拟，为充填参数的优选提供了一种简便可行的方法。
Inclined well, horizontal and a promising prospecting technology for oil and gas exploration and development, especially for heterogeneous oil and gas reservoirs and oil and gas fields with complex geography environment, it is more efficient and cost-effective . Inclination Wells gravel packing sand control completion of the operation there are the following problems: ① gravel in the not yet fill the entire space, easy to precipitate, forming a “bridge plugging”; ② carrying sand easily flow into the formation damage caused by stratification, while carrying sand filter Loss will result in “bridge blockage”; ③ When the gravel is not full, the wellbore will collapse easily. Therefore, based on the principle of momentum and conservation of mass, on the basis of full consideration of the factors that affect oblique and gravel packing, the gradient grading of inclined shafts is abstracted into a mathematical model. The theoretical basis and calculation formula of model prediction are given, and the computer simulation is carried out, which provides a simple and feasible method for the optimization of filling parameters.