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储层的空间连通性对于油气田的开发有很大程度的影响，但如何正确地描述出储层的空间连通模式是地质学家所面临的难题之一。文章引入连通性的定义后，将储层连通性的模拟问题转化为在模拟区域G中模拟一满足条件连通约束条件的平稳随机集A，利用随机模拟理论中的截断高斯模拟技术，建立了在给定的连通约束条件下模拟储层岩相的空间展布的方法和具体的模拟步骤，分析了影响连通性的因素。实例模拟结果表明：模拟结果能很好地符合于连通约束条件；由于不同的初始图像代表对模拟区域连通性的不同估计，初始图像的不同，会导致模拟结果上的差异，这种差异性反映出模拟具有一定的多解性，但它能为地质学家提供多种可供选择的连通模型。

SIMULATION OF RESERVOIR SPATIAL CONNECTIVITY 1)

The spatial connectivity of reservoirs is very significant for the reservoirs to exploit. But it is one of the problems geologists face how to describe the spatial connectivity of reservoirs correctly. After the connectivity is defined, the simulation of reservoir connectivity in the simulated area G is converted into simulating Stationary set A with re-spect to connectivity constraint. With truncated Gaussian method of random simulation theory, the method and procedures to simulate spatial connectivity of reservoir rock phases are proposed under the given connectivity constraint. The factors that affect connectivity are analyzed. The simulation results with real cases show the results are very consistent with the connectivity constraint conditions. Since different initial images represent the different estimations for the connectivity of the simulated area, the different initial images will produce different simulation results. The difference reflects some multiple solutions of the simulation, which provides possible multiple choices of the connectivity models to geologists.