Basic Study on the Simulation of Three Dimensional Roughness

Abstract

In the field of irrigation, drainage and reclamation engineering, we quite often need spacial information such as soil moisture, bearing force, percolation rate, and ups and down of field. However, so far a few reasonable methods for estimating such informations have been established.
In this paper, first of all, we have made a proposal for using the causal stochastic model having separable covariance function for the simulation of three dimensional terrain. And we found that the simulated spacial series had also statistical characteristics such as average, variance and autocorrelation which were equal to those of the original series.
Furthermore, using this simulation model, its peripheral model and its improved version, we estimated the residual water of several types of land classified according to their use (paddy fields, grounds, and reclaimed lands) and its fixed value when the slope of the lands are changed.