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裂缝储层压裂与普通均质储层压裂存在明显的差异，最主要的差别就是流体的滤失。现有的压裂液滤失模型是针对均质储层而建立的，不能用于裂缝性储层压裂液的滤失计算。文章建立了裂缝性储层压裂液滤失计算的数学模型，采用正交变换法给出了模型的精确解，并讨论了其收敛性，对于裂缝性储层压裂设计和压裂压力分析具有重要的意义。实例计算表明，裂缝性储层压裂液滤失速度计算不能采用滤失速度与滤失时间的平方根成反比的经典滤失理论。

DESIGN AND SAFETY CHECK OF GAS INJECTION STRING WITH HIGH PRESSURE 1)

Fracturing of fractured reservoirs differs dramatically from that of average homogenous reservoirs. The most difference is fluid leak-off. The existing models of fracturing fluid leak-off are based on the homogenous reservoirs, and cannot be used to calculate the fracturing fluid leak-off for fractured reservoirs. Therefore, the mathematic model is developed to calculate fracturing fluid leak-off for fractured reservoirs. With orthogonal transformation method, the exact solution of the modal is derived and its convergence is discussed, which has important significance for the fracturing design and the fracturing pressure analysis of fractured reservoirs. Calculation of real cases shows the classic leak-off theory, i.e. the leak-off velocity is inverse proportional to the square root of the leak-off time, cannot be used to calculate fracturing fluid leak-off velocity for fractured reservoirs.