The Multifractal Algorithm And Applications

In this dissertation, aiming at the multi-fractals, the utmost international subject, integrating the question of seismic techniques and the detecting oil & gas, fulfill idiographic algorithmic of forecast of oil & gas of multi-fractals-grey pattern identification after researching general algorithmic of the multi-fractals.First, the thesis introduces the basic theory and algorithmic of general fractals and multi-fractals. Secondly, based on the improved algorithmic of computing the multi-fractals spectrum of seismic records, aiming at the given seismic data, we extract some character parameters of multi-fractals. Following that, we select the useful parameters. Finally, we fulfill the successful forecast of single geodesic and the whole area of upside layer of AoTaoXi in some oil field based on oil attributes of the wells we have known, using the method of grey pattern identification, and get good comments from some experts of the same vocation.The main results of this thesis are as following: brings forward one improved algorithmic of computing the multi-fractals spectrum of seismic records; acquires the multi-fractals spectrum of this area; advances and realizes the arithmetic of fractal grey identification of three-dimensional seismic data; educes satisfying forecast result of the oil & gas distributing of single geodesic and the whole area of layer of AoTaoXi in this field; develops triumphantly software about the theory of fractal used in oil & gas detection and affords a new thoughtway and a new method for the forecast of oil & gas.One feature of this thesis consists in it's the first time of oil & gas detection used multi-fractals in complicated and anisotropic oil & gas field, it worth exploring and researching more; The second characteristic is making certain the effective range of q by the fact problem of this article so as to the parameters not only reflecting the feature of multi-fractals fully but also reducing the pertinence of the parameters to the least; The third trait is the skillful link of the multi-fractals spectrum and the technology of grey identification and implementing the new try of three-dimensional oil & gas forecast.The main innovation of this article is aiming at the particularity of seismic records, brings forward one improved algorithmic of computing the multi-fractalsspectrum and the speed of computing being quickened consumedly, so making the algorithmic adapting the computing of large-scale question about the oil & gas forecast of three-dimensional seismic records.