近二十五年来,用数学模拟坡地演化作了很大努力。这些模型都受到自然坡地的差异性和复杂性以及许多地形定年困难所约束。未固结物质组成的陡坎是一种比其他坡地类型更为简单的普通地形。它们常具有明确的初始条件,并且它们的变化快得足以检验数学模型的临时预测结果。新近的陡坎研究,尤其是断层陡坎,已得到许多陡坎测量方法(图1A)。本文的目的是明晰地解出陡坎边界条件下的扩散方程,并论证如何把该解用于估计陡坎年龄。未固结沉积物组成的陡坎形态变化受控于有限运移过程——初始的土壤蠕动,雨滴撞击 In the past twenty-five years, great efforts have been made to simulate the evolution of sloping lands. These models are constrained by the differences and complexities of natural slopes and the difficulties of dating many of the topography. The steep ridge of unconsolidated material is a simpler type of terrain than any other type of slope. They often have well-defined initial conditions and their changes are fast enough to test the provisional predictions of the mathematical model. Recent scarp research, especially fault scarps, has resulted in many scarp surveys (Figure 1A). The purpose of this paper is to unambiguously solve the diffusion equation under scarping boundary conditions and demonstrate how to use this solution to estimate the scarp age. The morphological changes of the scarp composed of unconsolidated sediments are controlled by the limited migration process - initial soil creep, raindrop impact