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Applications of Pattern Formation in Diffusive Instability Field on Modeling of Clod and Root System Formations

扩散不稳定场模式形成在土块和根系地层建模中的应用

基本信息

批准号：
02806046
负责人：
SHIBUSAWA Sakae
金额：
$ 1.28万
依托单位：
Grant-in-Aid for Scientific Research (C) (1991)Hokkaido University (1990)
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1990
资助国家：
日本
起止时间：
1990 至 1991
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02806046/
关键词：
diffusion non-linear pattern formation L-system fractal clods root system tillage パタ-ン形成成長モデル亀裂

项目摘要

Finding general aspects and descriptions of both root system and tilled clod formations is a main issue in this work. This study is a challenge to bio-physically clarifying the behavior of soil-Plant systems such as the plant growth under interactions with environment, and it has been an issue of wide interest in phytotechnology. The objectives of this work were as follows :1)to confirm that the configurations of both corn root systems and tilled clods are a kind of fractal patterns.2)to explain the development of soil cracks like elastic materials by the use of pattern formation under diffusive instability in viscoelastic strain field.3)to produce a branching growth model for a root system based upon L systems.4)to find control parameters of pattern formation on root systems and tilled clods. The results were as follows.1)Clods of heavy clay formed by rotary tillage showed power-scaling on their contours, cracks, and crack area distribution, and they were confirmed to be fractal patterns. Moreover high-frequency blade vibration was related to crack intervals on the clods.2)The root system of corn followed anisotropic power distribution like a self-affine fractal.3)Non-linear coupled diffusion equations including elastic strain and plastic flow terms were proposed for giving expression to viscoelastic behavior of soil, and local accumulation of elastic strain was simulated under diffusive instability.4)Hierarchical modeling of a corn root system provided a new type of root growth model and broke through a limit of traditional L-system methodology.5)General aspects of both clod and root system formations such as fractal were derived, and this would provide one avenue for investigators on soil-plant system-dynamics.

寻找根系和耕作土块形成的一般方面和描述是这项工作的主要问题。这项研究是对土壤-植物系统的生物物理行为的挑战，例如植物在与环境相互作用下的生长，它一直是植物技术界广泛关注的问题。本研究的目的如下：1)确认玉米根系和耕作块的形态都是一种分形图形；2)利用粘弹性应变场中扩散不稳定性下的花纹形成来解释类似弹性材料的土壤裂隙的发展；3)建立基于L系统的分枝生长模型。4)寻找根系和耕作块上图形形成的控制参数。结果表明：1)旋耕形成的重质粘粒在其轮廓、裂隙和裂隙面积分布上呈幂标度分布，并证实其为分形图。此外，高频叶片振动与块体上的裂纹间距有关。2)玉米根系服从各向异性的自仿射分数分布。3)建立了包含弹性应变和塑性流动项的非线性耦合扩散方程，用于描述土体的粘弹性行为，并模拟了扩散失稳条件下弹性应变的局部累积。4)玉米根系的分层建模提供了一种新型的根系生长模型，突破了传统L系统方法的局限性。5)推导了玉米根系形成和根系形成的一般方面，如分形。这将为土壤-植物系统-动力学的研究人员提供一条途径。