目前裂隙—基质双重介质地下水流解析模型的形状因子推导偏经验化。以标准抽水试验为例，通过建构单一裂隙—带状基质介质的水流解析模型并求解其解析解，提出了新的基质水流控制方程及新的形状因子，避免经验化的水流方程和形状因子推导。对于裂隙网络—基质介质水流的有限元数值解，新的水流方程和形状因子能够实现基质内无网格离散。结果表明：带状基质的形状因子是基质宽度平方的倒数；圆形基质的形状因子是基质半径平方的倒数；其他形状基质的形状因子是经验参数。基于新形状因子的解析解，预测的降深相对误差小于5%；然而采用既有形状因子时，降深相对误差约为99%。当裂隙网络的面积与总面积的比值（裂隙密度）超过62%时，裂隙网络可简化为双重连续介质。数值解成功用于野外标准抽水试验。

The derivation of the shape factor in analytical models for flow in double-porosity media is often partially empirical. This study proposes a new flow equation and shape factor for matrix domains, eliminating empirical derivations in the context of a standard pumping test in double-porosity confined aquifers. For a single-fracture strip matrix medium, a new analytical model incorporating the proposed flow equation and shape factor was developed, and its analytical solution was derived. For a fracture-network matrix medium, a finite element solution was constructed based on the new flow equation and shape factor, without discretizing individual matrix spaces. The results indicate that the shape factor for the strip matrix is the reciprocal of the square of the matrix width, whereas for a circular matrix, it is the reciprocal of the square of the radius. However, for other matrix shapes, it remains an empirical parameter. The relative error in fracture drawdown predicted by the analytical solution incorporating the new shape factor is less than 5%, whereas existing shape factors yield a relative error of approximately 99%. When the ratio of fracture area to total medium area (defined as fracture density) exceeds 62%, the fracture-network matrix medium can be considered a double-porosity continuous medium. The finite element solution was applied to a field standard pumping test, demonstrating its effectiveness.