中文摘要：

给出考虑起始水力梯度的低渗透介质中分别存在垂直井、垂直裂缝井及分支水平井时的非线性渗流量公式,讨论了非线性渗流参数（起始水力梯度）、供给边界、垂直裂缝井的裂缝半长、分支水平井井筒数等因素对流量的影响。结果表明：在其他条件相同时,非线性渗流使得垂直井、垂直裂缝井及分支水平井流量降低;供给边界距离越大,垂直井、垂直裂缝井及分支水平井流量越小;垂直裂缝井的裂缝越长,流量越大;井筒数越多,分支水平井流量越大。

英文摘要：

Formulas for the flow rates of nonlinear flows in low-permeability media for vertical well, vertically fractured well and branch horizontal well considering the initial hydraulic gradients were presented. The influences of parameters for nonlinear flows （initial hydraulic gradient）, supply boundaries, fracture length of vertically fractured well and weUbore number of branch horizontal well on the flow rates were analyzed. The results show that when the other conditions are the same, the flow rates for the above three kinds of wells decrease because of the nonlinear flows. The flow rates are smaller when the supply boundaries are larger. The flow rate for the vertically fractured well increases when the fracture length is larger. The flow rate for the branch horizontal well increases when the number of wellbores is larger.