In Ordos Basin, gas exploration practice indicated that the spatial distribution of Ordovician paleotrough played an important role in gas reservoirs quality. In order to optimize exploration target, the paleotrough distribution was studied by fractal theory. There are three procedures in practical operation. Firstly, the relationship between reservoir quality and paleotrough distribution was analyzed. Secondly, the fractal distribution of paleotrough was proved by mathematical method; moreover, the mechanism of fractal distribution was discussed from the views of the tectonic background and geologic agent. Based on the above study, exploration potential was finally targeted with the consideration of paleotrough effects and geological settings. The results showed that reservoir physical property was strongly promoted by the fractal distributed paleotrough, and south Yulin is a favorable target area owing to its advantage for paleotrough fractal development and good gas accumulation background. Combining fractal theory of modern mathematics with gas exploration practice, the study provided a quantitative method for paleotrough description and also provided a new perspective in natural gas exploration.
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