朱磊, 陈玖泓, 刘德东. 土壤表面干缩裂隙形态定量分析及其数值模拟[J]. 农业工程学报, 2016, 32(14): 8-14. DOI: 10.11975/j.issn.1002-6819.2016.14.002
    引用本文: 朱磊, 陈玖泓, 刘德东. 土壤表面干缩裂隙形态定量分析及其数值模拟[J]. 农业工程学报, 2016, 32(14): 8-14. DOI: 10.11975/j.issn.1002-6819.2016.14.002
    Zhu Lei, Chen Jiuhong, Liu Dedong. Morphological quantity analysis of soil surface shrinkage crack and its numerical simulation[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(14): 8-14. DOI: 10.11975/j.issn.1002-6819.2016.14.002
    Citation: Zhu Lei, Chen Jiuhong, Liu Dedong. Morphological quantity analysis of soil surface shrinkage crack and its numerical simulation[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(14): 8-14. DOI: 10.11975/j.issn.1002-6819.2016.14.002

    土壤表面干缩裂隙形态定量分析及其数值模拟

    Morphological quantity analysis of soil surface shrinkage crack and its numerical simulation

    • 摘要: 为揭示农田土壤表面干缩裂隙发展规律以及形成机理,该文对农田土壤裂隙演化试验图像进行二值化、去除噪点、提取裂隙边缘等处理,应用闵科夫斯基函数定量分析裂隙形态变化,并基于胡克定律模拟由于水分蒸发而引起的土壤收缩开裂过程。结果表明:闵科夫斯基函数可以有效地描述裂隙形态;形态学分析结果显示裂隙的闵科夫斯基面积、长度、欧拉数密度函数具有不同的变化规律;应用数值方法模拟由于水分蒸发而引起土壤收缩开裂的二维裂隙,试验图像裂隙面积、长度、欧拉数密度基本分布在100组模拟图像裂隙密度均值与标准差之间,裂隙试验图像与模拟图像面积、长度、欧拉数密度决定系数在0.893~0.928之间,均方根误差在0.002~0.039之间,偏差在0.064~0.144之间,一致性指标大于0.888,表明模拟结果较好。应用数值方法模拟土壤表面裂隙,有助于研究农田土壤裂隙的形成机理以及土壤裂隙随时间变化过程中动态演化规律。

       

      Abstract: Abstract: Soil cracking is a common phenomenon in nature, which has great influence on soil properties, plant growth and soil moisture transfer. This study aimed to reveal the development law and formation mechanism of dry shrinkage cracks on the soil surface. Soil crack evolution test was carried out in 1-m2 soil in Yellow River irrigation area (105°40′E, 37°28′N) of Ningxia Zhongning County. Soil was irrigated to saturate condition, and dried under sunlight to form cracks. A Canon digital camera was used to take crack pictures every 2 h for 3 days. The picture was processed through binarization, noise removal and edge extraction of fracture for extraction of morphological properties. Minkowski area, length and Euler number were to quantify crackers. The cracker evolution was simulated through morphological dilation and erosion operation. The model assumed that the soil critical strain field followed normal distribution. Friction was taken as soil static adhesion force, and grid structure contraction frequency represented soil moisture evaporation intensity in hexagonal network structure composed of nodes. In the simulation, vertical interaction between layers of the soil was ignored, and the clay was considered as elastic material. The distance between each node in hexagonal structural network was reduced gradually on behalf of the soil evaporation. The reducing of distance between each node could cause the changing of force between network nodes, which resulted in soil cracking. The model was solved using program written by C++ language under the CodeLite platform and generated Tiff image as output. By comparison of crack area, crack length, euler number density that calculated by analyzing experiment pictures and images the program produced, it could be drawn that crack morphology could be described by Minkowski area, length, euler number density effectively; each parameter had its own variation as morphological analysis results did, among which area density function was an increasing function between 0 and 1, the length density function increased and decreased, and the euler number density function increased and then decreased, and finally increased again. Furthermore, a two-dimensional soil cracking model was established based on Hooke's law. To analyze the calculation results of different soil cracks, statistically equivalent soil cracks had been investigated, 100 seeds were used to generate 100 groups of random structured soil cracks. The average level and standard deviation of each parameter of 100 groups of random structured soil cracks were also calculated and the average density value in this experiment was basically distributed between the mean value and standard deviation of the model. Coefficient of determination of area, length and euler number density was 0.893-0.928. Root mean square error was 0.002-0.039. Bias was 0.064- 0.144. Index of agreement was greater than 0.888. It suggested that the model established had high precision. Therefore, the model based on Hooke's law can effectively simulate the cracking process of soil. Simulation of surface soil cracking with numerical method is helpful to study the formation of farmland soil cracks as well as its dynamic evolution mechanism.

       

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