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《GEOGRAPHICAL RESEARCH》 1996-03
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THE APPLICATION OF FRACTAL METHOD TO STUDYING QUATERNARY SEDIMENTAL ENVIRONMENT IN LUSHAN AREA

Zhu Cheng;Yu Shiyong;Liu Xiaonin(Department of Geo & Ocean Sciences,Nanjing University,Nanjmg 210093)  
The past study has revealed that there is a close relation between the value of Fe3+/Fe2+ and the climatic conditions for forming sediments.Viewing the phenomenon at a different angle,the authors found that the sediments with high value of Fe3+/Fe2+ also have more thermophilous sporopollen. Going a step further.we can find that there is a positive correlation between the value of Fe3+/Fe2+ and the paleo-temperature for forming the sediments.The positive correlation is similar to a power exponent relation.If the value of Fe3+/Fe2+ in vertical profile has an autocorrelation,then the value will show a fractal curve.The relation betewwn the Fe3+/Fe2+ value and paleo-temperature can use a formula to express.that is,T=α+bxD.where,T is paleo-temperature.x is the value of Fe3+/Fe2+,αand b are constants,and D is the fractal dimension of the Fe3+/Fe2+ series.Based on the results of sporopollen identification and the testing data of Fe3+/Fe2+.this paper establishes a nonlinear formula to infer the paleo-temperature in the area,i.e.T=2.3+0.09x1.31.USing the above formula to determine the paleo-temperature change in the area since Q2,we can find that the inferred result has a relative mean deviation of5%,and this method is more obvious to illustrate the paleo-temperature fluctuation.The inferred result shows that there are 3 times obvious(cold or warm) climate fluctuation in the area since Q2.During the period.the highest annual mean air-temperature was about 22℃,and the lowest value was 3℃ or so.No minus annual mean air temperature was not found.In order to identify genesis of sediment formation, the authors suggest a concept about grain size fractal dimension of sediments. On the assumption that the grain diameter(r) and number (N)of the sediments accord with a power exponent relation,that is,N(r)=C/rD,here C is a constant,D is a fractal dimension, thus,the granule of the sediments can be considered as spherical,and they have homogeneous density,consequently,we can get a formula to calculate the grain-size fractal dimension:D=3-(log2(M/m)-log2(M2- m)/(φ2,-φ1,).In the formula,M1/m and M2/m are the granule percentage contents for grain diameter r1 and r2 respectively,φ=-log2r1 and φ2=-log2r2are the logarithms of the grain diameter r1 and r2,D is a measured index of the grain-size diamension distribution.According to the above formula,the authors calculate the different grain-size fractal dimensions of Dajiaochang sediments,moraine,debris flow,rock glacier and alluvium.By contrast,we can find that the Dajiaochang sediments are similar to debris flow and rock glacier according to their grain-size fractal dimensions,but they are different from moraine.Combining paleo-temperature to deduce,the authors think that the Dajiaochang sediments was mainly formed by mountain debris flow and alluvium under monsoon conditions during interglaciation period.Of course.it is impossible to form glacier in the Lushan area under the above climatic conditions.
【Fund】: 国家博士后科学基金 南京大学现代分析中心测试基金
【CateGory Index】: P534.63
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