A new study on the integrating of random walk process and multiple point geostatistics to model the fluvial reservoir

The multiple point geostatistics can not reproduce the continuous shape of the channel due to the limitation of the algorithm with random draw of the simulated value. A new method is proposed which integrates the random walk process with multiple point geostatistics. First the random walk process produces the channel main streamline, then the draw of simulated value in multiple point geostatistics is conducted by the streamline. The method solves the continuities problem in channel. The real model is constructed with both the new method and only the multiple point geostatistics and the results show the new method can reproduce the continuous sinuous channel. A cross-validation is implemented and the result is also well, which proves the new method is robust and can be put into real reservoir modeling.