Application of Schwarz Christoffel Transformation in Geological Modeling of Meandering River

The diversion of meandering river makes the properties of sedimentary reservoir distribute along the direction of channel extension. The conventional geostatistics method depends on the range and direction of variogram in the prediction of reservoir parameters. According to the basic principle of Schwarz Christoffel transformation, the mapping mathematical model is established. In order to verify the reliability of the model, 38 vertical wells in the study region were selected for analysis, taking the X sandstone reservoir deposited by meandering river in Ordos Basin as an example. After mapping, the river flows is along the height direction of the rectangular region. In the rectangular region, the distribution of porosity parameters is obtained through variogram analysis and sequential Gaussian simulation. The restored geological modeling of porosity changes basically is along the river direction, while the orthogonal grid in the rectangular region also maintains a certain degree of orthogonality in the actual reservoir region.