Fractal Model for the Correlation Relating Total Suction to Water Content of Bentonites

Great efforts have been made to determine total suction using elaborate laboratory tests, because there is no a specific correlation relating the total suction to the water content of bentonites. However, elaborate laboratory tests are difficult and time consuming to perform on bentonites. Thus, a theoretical equation is a necessary choice to correlate the total suction to the water content. A simple method is proposed to calculate the total suction from the water content based on the surface fractal model for bentonites. The correlation relating the total suction to the water content is expressed by a power-law function with the exponent of [Formula: see text] is the surface fractal dimension of bentonites. The surface fractal dimension can be determined using the nitrogen adsorption isotherm tests. The total suction of bentonites calculated from the proposed method is in satisfactory agreement with the experimental data found in the literature. In addition, the correlation of the total suction to the water content also offers another method to determine the surface fractal dimension of bentonites.