用正演井间分形克里格方法预测储集层的非均质性

综合分形预测和克里格估值的优点，提出一种研究储集层井间规模非均质性的ＦＩＦＫ方法，即正演井间分形克里格方法（ＦｏｒｗａｒｄＩｎｔｅｒｗｅｌＦｒａｃｔａｌＫｒｉｇｉｎｇ）。该方法的理论基础是分数布朗运动和地质统计学；在２口井间插值时用重新采样方法（三次采样）井行加密插值，既解决方法所要求的２口井数据点个数必须相等而实际往往不等的问题，又保证采样后曲线不变形；在形成数据体或图形时，根据２口井所处构造位置，采用相应地质概念模型处理数据，再进行分形预测，形成井间参数分布场；最后将分形预测结果变换为考虑构造位置的原始预测结果。用该方法预测东濮凹陷胡状集油田胡十二块的井间储集层非均质性，预测结果与示踪剂测试结果相当吻合，验证了该方法的实用性和预测结果的可信性。图４表１参２（邹冬平摘）

Applying forward interwell fractal Kriging to reservoir heterogeneity prediction.

Combining the advantages of fractal prediction with Kriging estimation, Forward Interwell Fractal Kriging (FIFK) is proposed in this paper which is used to study interwell reservoir heterogeneity. The theoretical base of FIFK are fraction Brown motion and geostatistics. Resampling (tertiary sampling) is used to interpolate values between two wells, which can not only solve a problem that the number of data points from the two wells must be equal required by FIFK while it is usually unequal in practice, but also make the resampled curves not be deformed. When creating data set or images, according to the structural locations of the two wells, the geological conceptual models are employed to process data and then make fractal prediction to produce parameter distribution fields between wells, finally the predicted results with fractal are back transformed to original predicted results in which the structural locations are considered. FIFK is used to predict reservoir heterogeneity between wells in No.12 fault block, Huzhuangji oil field in Dongpu depression. The fact that predicted results are well accord with the results from tracer test verifies FIFK is practical and predicted results are reliable.