分形理论在油气井测试中的应用--分形麦金利图版的制作和使用

分形几何理论的产生和发展为刻画非欧几里得几何系统(即分维系统)的性质提供了有效手段，使用这一工具对油气渗流规律进行重新认识，对传统描述油气运动的数学模型加以改进，并应用于试井分析中．根据传统模型图版制作原理，作出分形麦金利图版，可以看出：与传统模型拟和很差的实际数据，与分形麦金利图版的匹配效果却很好．说明油气藏更接近分维系统，所求得的各种参数更接近地下真实复杂情况，这对于油气田开发工作有重要的指导意义．

THE FRACTAL THEORY USED IN WELL TEST ANALYSIS OF OIL AND GAS--THE MAPPING AND APPLICATION OF MCKINLEY TYPICAL CURVES

It is an effective tool for initiation and development of fractal geometry to investigate the prosperity of Euclid system. We describe characteristic of oil and gas flow and well-test analysis by this tool. On the conditions which are the supposes and definitions in the classic seepage flow dynamics are suitable to fractal oil and gas reservoir, and the mechanic laws in the fractal oil and gas reservoir are same formally with those in the classic seepage flow dynamics, based on the resolution of fractal oil and gas reservoir for single media, infinite strata and unstable flow by Tong dengke, we take use of Laplace transformation and attain the resolution for Laplace space. Then according to Stephest's numerical inversion, we get the numerical resolution for time domain of fractal oil and gas reservoir for single media, infinite strata and unstable flow. Depending on the mapping principle of traditional model curves and thinking about combining parameters and transforming coordination of typical curves, we get fractal Mckinley curves, investigate the character of these fractal Mckinley curves and use the practical test data of well A, The parameters we get are more reasonable, which is instruction for oil and gas exploration. In accordance with the above results, we concluded that the reservoir connected to well A is a complicated fracture network and has poor connectivity. What's more, fluid flow into well A not only from horizontal plane but also from direction paralleled to wellbore. Therefore we can see the flow of well A is not so simple. In additional, the well A is highly polluted. All of these results are consistent with those from the analysis of core and explanation for well-log.