MATHEMATICAL MODEL FOR ESTIMATING SOIL REDISTRIBUTION RATE BY WATER EROSION USING THE NUCLEAR AND ISOTOPIC FRN TECHNIQUE.

The use of nuclear techniques for the evaluation of soil water erosion is based on empirical relations to evaluate inventories of radionuclides in the soil (Cs, Pb and Be). In applying the fallout radionuclides technique (FRN) to croplands, the most widely used model is the Mass Balance Model (MBM-I...

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Published in:Revista Cubana de Física Vol. 43; no. 1; pp. 13 - 20
Main Authors: PERALTA-VITAL, J. L., MARTÍNEZ-LUZARDO, F. H., GIL-CASTILLO, . H., LLERENA-PADRÓN, Y., Díaz-Rizob, O.
Format: Article
Published: Universidad de La Habana 7/15/2026
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      aug:
        au:
          PERALTA-VITAL, J. L.
          MARTÍNEZ-LUZARDO, F. H.
          GIL-CASTILLO, . H.
          LLERENA-PADRÓN, Y.
          Díaz-Rizob, O.
        affil:
          Center of Radiation Protection and Hygiene Agency for Nuclear Energy and Advance Technologies, Havana, Cuba.
          Higher Institute of Technology and Applied Sciences - University of Havana, Havana, Cuba.
      su:
        Soil erosion
        Cesium isotopes
        Mathematical models
        Isotopic analysis
        Soil erosion prediction
        Radioisotopes
        Nuclear research
      sug:
        subj:
          Soil erosion
          Cesium isotopes
          Mathematical models
          Isotopic analysis
          Soil erosion prediction
          Radioisotopes
          Nuclear research
      keyword:
        conversion model
        fallout radionuclides
        soil redistribution
        water erosion
        erosión hídrica
        modelo de conversión
        radionúclidos de precipitación
        redistribución del suelo
      ab:
        The use of nuclear techniques for the evaluation of soil water erosion is based on empirical relations to evaluate inventories of radionuclides in the soil (Cs, Pb and Be). In applying the fallout radionuclides technique (FRN) to croplands, the most widely used model is the Mass Balance Model (MBM-II), which employs Cs isotope inventories (Bq m) to estimate soil redistribution rate. This work develops a mathematical model (MRS-2) to obtain this soil redistribution rate, yielding results comparable to those of MBM-II. The model estimates the soil redistribution rate based on areal activity density (AAD) values (Bq m) used in FRN techniques. This linear model is notable for its internal and external validation, providing reliable estimates of soil redistribution rate down to values of -60 t ha y. Its use is therefore recommended.
        El uso de técnicas nucleares para evaluar la erosión hídrica del suelo se fundamenta en el establecimiento de relaciones empíricas para evaluar los inventarios de radionucleidos en el suelo ( Cs, Pb y Be). Al aplicar la técnica de radionucleidos de precipitaciones (FRN) a las tierras cultivadas, el modelo más utilizado es el Balance de Masa (MBM-II), que emplea inventarios de isótopo Cs (Bq m) para estimar la tasa de redistribución del suelo. Este trabajo desarrolla un modelo matemático (MRS-2) para obtener esta tasa de redistribución del suelo, produciendo resultados comparables a los del modelo MBM-II. El modelo estima la tasa de redistribución basándose en valores de densidad superficial de actividad (DSA, en Bq m) utilizados en la técnica FRN. Este modelo lineal es notable por su validación interna y externa, proporcionando estimaciones fiables de la tasa de redistribución del suelo hasta -60 t ha y. Por lo tanto, se recomienda su uso.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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