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根据土壤-根系统中水分守恒和水势对水分运输作用的原理, 建立了土壤中非均匀水势作物根系吸水模型。在该模型中, 分别对一次函数和指数函数两种不同的非均匀土壤水势的表达形式建立模型, 并对非均匀水势和均匀水势下模型的解析解之间的关系进行了探讨; 利用该模型讨论根系的吸收阻力和木质部传导阻力的比率对根吸水的影响; 运用阻力比率的合理生理范围确定根生长的优化长度。结果表明: 在特定情况下, 非均匀水势下的根系吸水模型可以用于均匀水势, 对Poiseuille公式进行修正后得到的根的优化长度接近实际值。
According to the principle of moisture conservation and water potential transport in soil-root system, a model of root water uptake by non-uniform water potential crops in soil was established. In this model, two different models of inhomogeneous soil water potential expression, which are the first order function and the exponential function, respectively, are established, and the relationship between the analytic solutions of the inhomogeneous water potential and the uniform water potential is discussed. Using the model The effect of root absorption resistance and xylem transmission resistance on root water uptake was discussed. The optimal length of root growth was determined using a reasonable physiological range of resistance ratio. The results show that under certain conditions, the root water uptake model under non-uniform water potential can be used for the uniform water potential. The optimized length of the roots obtained after the Poiseuille formula is modified is close to the actual value.