Theory and application of multi-scale and multi-resolution fragmentation method for soil structure evaluation

The stress-wavelets method for soil fragmentation analysis has the same mathematical form with the wavelets method. Therefore, the wavelets theories can be re-interpreted, and then it applies to soil fragmentation research. Speciality was revealed from the results by applying stress-wavelets method to describe soil surface contacting energies. It also showed that fragment fractal dimension was a macroscopic statistical index for soil structure, while per fragment energy consumption was related to microscopic stress-wavelets index. A combination of those two indices gave a comprehensive evaluation of soil structural properties. The structure of paddy soil in Nanjing had significiant difference under the same treatment but in different seasons. The stress-wavelets index was well improved in autumn-tilled soil when compared with spring-tilled soil, and the fragment fractal dimension was also higher in autumn-tilled soil.