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Modelo estocástico para la evolución de la interfaz de mezcla a través de redes de fracturas tridimensionales

Daniel M C Hallack¹, Diogo Bolster¹, Jeffrey D Hyman²

¹University of Notre Dame, Civil and Environmental Engineering and Earth Sciences, Notre Dame, Indiana 46556, USA.

Physical review. E

|December 23, 2025

Resumen

Este resumen es generado por máquina.

La mezcla en redes fracturadas difiere de los medios porosos debido a la heterogeneidad de la red. Un nuevo modelo vincula la topología de la fractura con la dinámica de la mezcla, revelando patrones de crecimiento únicos distintos del crecimiento exponencial caótico.

Palabras clave:

mezcla en redes fracturadas dinámica de la mezcla topología de la red crecimiento de la interfaz de mezcla modelado estocástico flujo en medios fracturados transporte de solutos geociencias dinámica de fluidos ingeniería química

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Área de la Ciencia:

Geociencias
Dinámica de Fluidos
Ingeniería Química

Sus antecedentes:

La mezcla es crucial para el transporte de solutos en sistemas del subsuelo.
La comprensión de la mezcla en medios fracturados es compleja debido a las trayectorias de flujo heterogéneas.
Los modelos existentes a menudo asumen medios continuos, sin capturar los detalles específicos de las redes de fracturas.

Objetivo del estudio:

Investigar el comportamiento efectivo de la mezcla de solutos en flujos estables a través de redes de fracturas aleatorias 3D.
Caracterizar los fenómenos únicos de la mezcla en sistemas fracturados en comparación con los medios porosos.
Desarrollar un modelo analítico para el crecimiento de la interfaz de mezcla en redes de fracturas.

Principales métodos:

Simulaciones de alta fidelidad del flujo de fluidos y el transporte de solutos en redes de fracturas 3D.
Derivación de un modelo analítico para el crecimiento de la interfaz de mezcla.
Comparación de los resultados de la simulación con las predicciones del modelo analítico.

Principales resultados:

La mezcla en redes de fracturas exhibe fenómenos distintos, incluyendo eventos de división en el crecimiento de la interfaz de mezcla en las intersecciones.
La topología de la red influye significativamente en la dinámica de la mezcla.
El modelo analítico derivado predice con precisión el crecimiento de la interfaz de mezcla en función de las propiedades de la red.
No se observó el crecimiento exponencial caótico, común en medios porosos.

Conclusiones:

La heterogeneidad de la red de fracturas crea campos de flujo complejos que dictan la mezcla de solutos.
Existe una diferencia fundamental en el comportamiento de la mezcla entre los medios fracturados y los porosos.
El modelo desarrollado proporciona información sobre la dinámica de la mezcla única de los medios fracturados y ofrece predicciones asintóticas más allá de las capacidades de simulación actuales.