عنوان مقاله [English]
Spatial and temporal infiltration, hydrological studies at large levels such as catchment areas and at small levels, such as managing irrigation systems, are costly, time consuming and complicated. One of the proper methods for determining the general relationship of penetration is the scaling of relationships, which is a practical solution to the problem of soil variability. In this paper, With the aid of scaling and using penetration testing data, a binomial relation was obtained for water penetration in three soils. Maximum MAE and RMSE values for calibration of the proposed relationship were calculated to be 0.48 and 0.55 respectively. These values are highly accurate to the depths of penetration (10 to 25 cm). Although the evaluation of the empirical relationship between the three-dimensional influence that was obtained in previous studies has less error rates, the simplicity of the binomial relationship and the shorter computing of the empirical relationship of reasoning infiltration on Its superiority.