分形理论在井间薄储集层描述中的应用

THE APPLICATION OF FRACTAL THEORY IN DESCRIPTION OF INTERWELL THIN RESERVOIRS

薄层砂岩的空间展布形态异常复杂，地震资料由于受分辨率限制难以精确描述薄砂岩层的形态，而传统的线性数学方法也难以描述随机的地质沉积现象。通过对大量的宏观与微观沉积资料研究和测井相分析表明，地层沉积具有分形特征，利用地质统计资料建立分形地质模型，以地震和测井资料为约束，通过分形插值算法确定出井间薄砂层的空间展布形态，这种非线性的数学描述方法具有较高的分辨率和可信度，能进一步减少薄砂层储层描述的不确定性，对预测薄砂层油气藏分布范围、厚度变化意义重大。

For the reason of complexity,the spatial geometry of thin sandstone can not be precisely described by seismic data as the limitation of its resolution,and random deposition can not be done by the method of classic linear mathematics.The analyses of a great quantity of depositional data in micro macroscope as well as well logging facies indicate that the sedimentation of horizons has its own fractal characteristic,thus the geologic model can consequentially be created through the statistical geologic data,under the constraint of the data of seismic and well logging,the spatial geometry of interwell thin sandstones can then be determined by the fractal interpolational algorithm.The non linear mathematic method has higher resolution and reliability,and further reduce the uncertainty in the description of thin sandstones.So that,it is of great significance in predicting the distribution and thickness of thin sandstone reservoirs.