Resumen de Solución analítica de la ecuación de Richards en suelos no saturados basada en el modelo de Gardner. Caso de difusividad constante

Hugo Rolando Sánchez Quispe, Juan Gabriel Chipantiza Masabanda, Amanda Bonilla, Julio Cesár Mendoza

• español

  El artículo se centra en encontrar la solución analítica de la ecuación de Richards, usada para modelar el movimiento del agua en un medio poroso no saturado y para restringir el estudio a la circulación vertical descendente del fluido, con fuentes de humedad nulas y difusividad constante en el suelo. Se empleó la relación constitutiva de Gardner. Los resultados arrojados muestran que empleando la relación de Gardner se consigue una solución para el contenido de humedad en el suelo de tipo exponencial, tanto en la componente espacial como en la temporal y dependiente del autovalor γ, el cual restringe las soluciones particulares del modelo de Gardner a un conjunto determinado de valores.

• English

  The main objective of this research was to find the analytical solution of the Richards equation, which is used to model the movement of water in an unsaturated porous medium, restricting the study to the downward vertical circulation of the fluid, with sources of moisture null and constant diffusivity in the soil.  The results indicate that using  Gardner's relationship, a solution for the moisture content in the soil of an exponential type is achieved, both in the spatial and temporal component,  reliant on the self-value, which restricts the particular solutions from  Gardner's model to a certain set of values. The main objective of this work was to find the analytical solution of the Richards equation, which is used to model the movement of water in an unsaturated porous medium, restricting the study to the downward vertical circulation of the fluid, with sources of moisture null and constant diffusivity in the soil. The constitutive relationship of Gardner was used. The results show that, using the Gardner relationship, a solution for the moisture content in the soil of an exponential type is achieved, both in the spatial and temporal component and dependent on the self-value γ, which restricts the particular solutions from the Gardner model to a certain set of values.