Abstract

In this article, we provide a detailed description of a modeling technique for the capillary hysteresis in a soil-like porous material based on a Generalized Preisach Model. The identification of the reversible and irreversible Preisach distributions was performed with the first-order reversal curve (FORC) diagram technique, which is very popular now in magnetism and in other areas of science to give a fingerprint of the studied system. A special attention was given to the evaluation of the reversible component. In this case, we used a set of data published in 1965 by Morrow and Harris which has been used as a reference by many other researchers since. The advantage of this approach is that the experimental FORC distributions can be described with analytical functions and easily implemented in the mentioned Preisach-type model. Our research is also focused on the development of a characterization tool for the soil using the soil-moisture hysteresis. The systematic use of scanning curves provides a (FORC) diagram linked to the physical properties of the studied soil. The agreement between the experimental data and the Preisach model using the set of parameters found through the FORC technique is really noticeable and gives a good practical option to the researchers to use a method with a strong predictive capability.

Highlights

  • The proportion of water from soil is usually estimated by using the soil–water characterization curve (SWCC) defined as the relationship between matric suction and the water content [1]

  • We propose to use a similar approach, starting with the evaluation of the this idea, a lot of research effort was invested to find a link between the local microscopic magnetic entities showing hysteresis and the distributions evidenced by the First-Order Reversal Curve (FORC) technique

  • We propose to use a similar approach, starting with the evaluation of the hysteresis behavior on a single pore, followed by the use of the FORC technique to analyze what kind of physical data can be obtained

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Summary

Introduction

The proportion of water from soil is usually estimated by using the soil–water characterization curve (SWCC) defined as the relationship between matric suction and the water content [1]. In the last five decades, a number of models have been developed to estimate the water retention in porous media which is a really important step in the profound understanding of wetting/drying processes. As in any Preisach-type model, we base the soil-moisture hysteresis on a distribution of rectangular hysterons characterized by the two values of the input parameter, at which the switches between the two states occur (0 and 1, which could be understood as “empty” and “filled” states of a physical structure in the porous medium)—see Figure 1a. (c)with withaatank tankin inthe themiddle middleand andcapillary capillarytubes tubesatatthe theends In this thisarticle, article, we wepresent presentaacharacterization characterization technique technique for for the thesoil-moisture soil-moisture hysteresis hysteresis using using aa Preisach-type model which includes both reversible and irreversible hysteretic components. The literature are provided and discussed in the final part of the article

Classical
Simulation
Identification Techniques Based on FORC Diagram Method
Results of FORC Identification
Conclusion
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