论文

利用分形理论解决不同土粒分级标准间土壤质地资料的转换问题

展开
  • 北京师范大学地表过程与资源生态国家重点实验室地理学与遥感科学学院, 北京100875

收稿日期: 2010-12-29

  修回日期: 2011-04-21

  网络出版日期: 1997-10-20

基金资助

国家自然科学基金(41071184);国家重点基础研究发展规划项目(2011C403300)资助

Conversion of Different Soil Texture Triangle Based on Fractal Theory

Expand
  • State Key Laboratory of Earth Surface Processes and Resource Ecology, School of Geography, Beijing Normal University, Beijing 100875, China

Received date: 2010-12-29

  Revised date: 2011-04-21

  Online published: 1997-10-20

摘要

基于分形理论,选取黄土高原南部厢寺川林场地区20个典型样点,每个样点取3个剖面,共60个土样的实测土壤颗粒粒径分布数据,分别应用分形模型、对数正态模型、逻辑生长模型、WEIBULL模型预测土壤颗粒累积百分含量,提出一种预测土壤颗粒粒径分布的分形模型。结果表明,在0.002~0.1mm粒级范围内,分形模型对已知土壤资料的粒级个数和预测粒级的大小等因素并不敏感,具有较高的预测精度和稳定性;与对数正态模型、逻辑生长模型和WEIBULL模型相比,分形模型的总体预测误差最小且未出现大误差数据,可以有效对不同土粒分级标准间土壤质地资料进行转换。

本文引用格式

郭中领, 张科利, 董建志, 王颖, 刘宏远, 王维 . 利用分形理论解决不同土粒分级标准间土壤质地资料的转换问题[J]. 地理科学, 2011 , 31(10) : 1254 -1260 . DOI: 10.13249/j.cnki.sgs.2011.010.1254

Abstract

The soil texture is one of the most important indicators to reflect soil physical properties.It is the key input to many models,just as calculating the Erodibility K of the RUSLE and Pedo-Transfer Functions,which needs the soil texture of USA textural triangle.However,despite a number of recognized international stan-dards,soil data are rarely compatible across national frontiers.Therefore,interpolation of the soil texture in dif-ferent textural triangle is very necessary.Researches have shown that the soil has the fractal characteristic.In this study a fractal model is used for solving conversion of different soil texture triangle.For testing the stabili-ty and accuracy of the fractal model,60 soil samples with different profiles and land-use were taken at South-ern Loess Plateau.At first,0.02mm particle data,0.005mm particle data and omitting 0.02mm and 0.005mm particle data were omitted at the same time.Then the omitted particle data was predicted by the fractal model.The results indicate that the predicted particle-size data and the number of known particle-size data have little influence to the accuracy of the fractal model between the 0.002~0.1mm soil fractions;it is demonstrate that the model is much better for predicting the particle-size data than Logistic growth model,WEIBULL model and Log-normal distribution model,the accuracy of the fractal model is satisfying and there are no significant errors about the predicted particle-size data.The fractal model can be used for conversion of different soil tex-ture triangle.More studies should be carried out.

参考文献

[1] 蔡永明,张科利,李双才.不同粒径制间土壤质地资料的转换问题研究[J].土壤学报,2003,40(4);511~517.
[2] 刘建立,徐绍辉,刘慧.几种土壤累积粒径分布模型的对比研究[J].水科学进展,2003,14(5);588~592.
[3] 李天杰,赵烨,张科利,等.土壤地理学[M].北京;高等教育出版社,2004.36~37.
[4] Zobeck T M,T E Gill,T W Popham.A two-parameter Weibullfunction to describe airborne dust particle size distribution[J].Earth Surface and Landforms,1999,24;943-955.
[5] Press W H,Teukolsky S A,Vetterling W T,et al.NumericalRecipes in Fortran[M].Cambridge;Cambridge UniversityPress,1992.
[6] Crawford,J W,B D Sleeman,I M Young.On the relation be-tween number-size distributions and the fractal dimension ofaggregates[J].J.Soil Sci,1993,44;555-565.
[7] Zobeck T M,T W Popham,E L Skidmore,et al.Aggre-gate-mean diameter and wind-erodible soil predictions usingdry Aggregate-size distribution[J].Soil Sci.Soc.Am.J,2003,67;425-436.
[8] Skaggs T H,Arya L M Shouse P J,et al.Estimating parti-cles-size distribution from limited soil texture data[J].Soil Sci-ence Society of Journal,2001,65;1038-1044.
[9] Van Genuchten.On estimating the hydraulic properties of un-saturated soils[J].Soil Sci.Soc.Am.J,1980,44;892~898.
[10] Miao C Y,Liu B Y,Gao Y,et al.Evaluation of different proce-dures to interpolate particle-size distribution in black soils[J].In-ternational Journal of Sustainable Develop&World Ecology,2008,15;1-7.
[11] Bartoli F,Philippy R,Doirisse M,et al.Structure and self-sim-ilarity in silty and sandy soils;The fractal approach[J].Soil Sci-ence,1991,42;167-185.
[12] Rieu M,Sposito G.Fractal fragmentation,soil porosity and soilwater properties:Application[J].Soil Sci.Soc.Am.J,1991,55;1231-1238.
[13] 郭中领,符素华,王向亮,等.北京地区表层土壤分形特征研究[J].水土保持通报,2010,30(2);154~158.
[14] 杨培岭,罗远培,石元春.用粒径的重量分布表征的土壤分形特征[J].科学通报,1993,38;1896~1899.
[15] 吴承祯,洪伟.不同经营模式土壤团粒结构的分形特征研究[J].土壤学报,2003,40(1);162~166.
[16] Tyler S W,Wheatcraft S W.Fractal scaling of soil particle-sizedistributions:Analysis and limitations[J].Soil Sci.Soc.Am.J.1992,56;362-369.
[17] Kozak E,Ya A Pachepsky,S Sokolowski,et al.A modified number-based method for estimating fragmentation fractal di-mensions of soils[J].Soil Sci.Soc.Am.J,1996,60;1291-1297.
[18] Bittelli M,G S Campbell,M Flury.Characterization of parti-cle-size distribution in soils with a fragmentation model[J].Soil Sci.Soc.Am.J,1999,63;782-788.
[19] Prosperini N,Perugini D.Application of a cellular automatamodel to the study of soil particle-size distributions[J].PhysicaA,2007,383;595-602.
[20] 郭中领,符素华,张学会,等.土壤粒径重量分布分形特征的无标度区间[J].土壤通报,2010,41(3);154~158.
[21] 陈颙,陈凌.分型几何学[M].北京;地震出版社,1998;23~41.
[22] 霍亚贞,李天杰.土壤地理实验实习[M].北京;高等教育出版社,1986;6~14.
[23] Sang H,Kwang P L,Dong S L,et al.Models for estimatingsoil particle-size distributions[J].Soil Sci.Soc.Am.J,2002,66;1143-1150.
文章导航

/