Modeling Soil Water Retention Curve with a Fractal Method

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Modeling Soil Water Retention Curve with a Fractal Method

机译：用分形方法模拟土壤保水曲线

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Many empirical models have been developed to describe the soil water retention curve (SWRC). In this study, a fractal model for SWRC was derived with a specially constructed Menger sponge to describe the fractal scaling behavior of soil; relationships were established among the fractal dimension of SWRC, the fractal dimension of soil mass, and soil texture; and the model was used to estimate SWRC with the estimated results being compared to experimental data for verification. The derived fractal model was in a power-law form, similar to the Brooks-Corey and Campbell empirical functions. Experimental data of particle size distribution (PSD), texture, and soil water retention for 10 soils collected at different places in China were used to estimate the fractal dimension of SWRC and the mass fractal dimension. The fractal dimension of SWRC and the mass fractal dimension were linearly related. Also, both of the fractal dimensions were dependent on soil texture, i.e., clay and sand contents. Expressions were proposed to quantify the relationships. Based on the relationships, four methods were used to determine the fractal dimension of SWRC and the model was applied to estimate soil water content at a wide range of tension values. The estimated results compared well with the measured data having relative errors less than 10% for over 60% of the measurements. Thus, this model, estimating the fractal dimension using soil textural data, offered an alternative for predicting SWRC.

机译：已经开发了许多经验模型来描述土壤保水曲线（SWRC）。在这项研究中，用特制的Menger海绵推导了SWRC的分形模型，以描述土壤的分形结垢行为。建立了SWRC的分形维数，土壤质量的分形维数与土壤质地之间的关系。然后将该模型用于估算SWRC，并将估算结果与实验数据进行比较以进行验证。导出的分形模型为幂律形式，类似于Brooks-Corey和Campbell的经验函数。利用中国不同地区采集的10种土壤的粒径分布（PSD），质地和土壤保水率的实验数据来估算SWRC的分形维数和质量分形维数。 SWRC的分形维数与质量的分形维数线性相关。同样，两个分形维数都取决于土壤质地，即粘土和沙子的含量。提出表达以量化关系。基于这些关系，使用四种方法确定SWRC的分形维数，并使用该模型估算各种张力值下的土壤含水量。对于超过60％的测量结果，估计结果与相对误差小于10％的测量数据进行了很好的比较。因此，该模型使用土壤质地数据估计分形维数，为预测SWRC提供了另一种方法。

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《土壤圈（英文版）》 |2006年第2期|137-146|共10页
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Department of Irrigation and Drainage, Chinese-Israeli International Center for Research and Training in Agriculture,China Agricultural University, Beijing 100083 China;

Department of Renewable Resources, University of Wyoming, Laramie, WY 82071-3354 USA;

Department of Irrigation and Drainage, Chinese-Israeli International Center for Research and Training in Agriculture,China Agricultural University, Beijing 100083 China;

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收录信息中国科学引文数据库(CSCD);
原文格式 PDF
正文语种 chi
中图分类农业基础科学;
关键词
fractal dimension; soil texture; soil water retention curve;

机译：分形维数;土壤质地;土壤保水曲线;

Modeling Soil Water Retention Curve with a Fractal Method

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