引入异常扩散指数θ，运用该参数来刻画裂缝网络的连通状况，并能反映渗流发生在裂缝网络时的异常情况。在此基础上，建立了一类双重介质渗流问题的数学模型。利用拉普拉斯变换求得了定产量生产时数学模型的精确解和长时渐进解及短时渐进解，并通过拉普拉斯变换数值反演方法作出了典型压力曲线图版，讨论了压力动态特征，分析了异常扩散指数θ及流动参数ω和λ对压力动态的影响。结果表明，θ在整个流动过程中都对压力曲线有影响。随着时间的增加，压力曲线相互发散，而当θ＝ ０ 时此模型即为一般的ＷａｒｒｅｎＲｏｏｔ 双重介质渗流模型 Introducing anomalous diffusion index θ, this parameter is used to characterize the connectivity of the fracture network and to reflect the anomaly of the seepage in the fracture network. On this basis, a mathematical model of the double media seepage problem is established. The exact solutions, long-term solutions and short-time asymptotic solutions to the mathematical model of fixed-volume production were obtained by using Laplace transformation. The typical pressure curves were obtained by Laplace transform numerical inversion method. The pressure dynamics The influence of abnormal diffusion index θ and flow parameters ω and λ on the pressure dynamics is analyzed. The results show that θ has an effect on the pressure curve throughout the flow. As the time increases, the pressure curves diverge from each other, and when θ = 0, the model is the general WarrenRoot dual-medium seepage model