Abstract
A robust 3D model of subsidence coupled with channeling into salt formations was developed. Its architecture allows easy implementation of empirical phenomenological laws regarding channel formation and subsidence within a formation. The model can be used to perform fast and adapted-to-complexity computations where data are sparse in time and space and where extensive state-of-the-art measurements are not available; as a preliminary model, it could ideally guide the development of more sophisticated, heavily parameterized and resource-demanding codes. Sensitivity analyzes on several 2D and 3D parameterizations were performed to assess the influence of several parameters in determining the shape of subsidence. The 3D finite element model coupling flow (using Darcy’s law) and subsidence (empirical models) was then tested for a French nineteenth century salt mining site, where mining may have induced subsidence by disrupting the balance between fresh water and brine. A sensitivity analysis was conducted to assess the impact of flow parameters or subsidence on results.
Zusammenfassung
Ein robustes 3D-Modell der Subsidenz gekoppelt mit Rinnenbildung in Salzformationen wurde entwickelt. Der Aufbau erlaubt die einfache Umsetzung empirischer Gesetze der Rinnenbildung und Absenkung innerhalb einer Formation. Das Modell kann benutzt werden, um schnelle und der Komplexität angepasste Berechnungen auszuführen, wenn Daten in Raum und Zeit knapp und ausgedehnte Messungen mit modernen Technologien nicht verfügbar sind; als ein vorläufiges Modell könnte es idealerweise die Entwicklung komplexerer, parameterreicher und rechenaufwendiger numerischer Berechnungen einleiten. Empfindlichkeitsberechnungen mehrerer 2D und 3D Parametervarianten erlaubten die Einschätzung diverser Parameter bei der Bestimmung der Gestalt der Absenkung. Das 3D finite Element Modell der Strömung (unter Nutzung der Darcy-Gesetze) gekoppelt mit der Absenkung (empirische Modelle) wurde an einer französischen Salzgewinnungsstätte des 19. Jahrhunderts überprüft, wo der Bergbau möglicherweise Absenkung bewirkt hat, indem das Gleichgewicht zwischen Süßwasser und Salzlauge gestört wurde. Empfindlichkeitsanalysen wurden durchgeführt, um den Einfluss von Fließparametern oder der Absenkung auf die Ergebnisse abzuschätzen.
Resumen
Se desarrolló un modelo robusto de subsidencia en 3D acoplado a la canalización en formaciones de sal. Su arquitectura permite la implementación simple de leyes fenomenológicas empíricas con respecto a la formación de canales y a la subsidencia dentro de una formación. El modelo se puede usar para realizar cómputos rápidos y adaptados a la complejidad cuando los datos son escasos en el tiempo y el espacio y las mediciones de vanguardia no están disponibles; como modelo preliminar, idealmente podría guiar el desarrollo de códigos más sofisticados, altamente parametrizados y demandantes de recursos. Se realizaron análisis de sensibilidad en varias parametrizaciones 2D y 3D para evaluar la influencia de varios parámetros en la determinación de la forma de subsidencia. El flujo de acoplamiento del modelo de elementos finitos 3D (usando la ley de Darcy) y subsidencia (modelos empíricos) fue probado para un sitio francés de minería de sal del siglo XIX, donde la minería puede haber inducido el hundimiento al interrumpir el equilibrio entre agua dulce y salmuera. Se realizó un análisis de sensibilidad para evaluar el impacto de los parámetros de flujo o la subsidencia sobre los resultados.
抽象
建立了一种耦合盐层内巷道工程的三维沉降模型。模型结构便于应用巷道形成和盐层内沉降的经验现象学定律,能够进行时间和空间数据稀疏区和大范围精确测量缺乏区的快速和适应性计算。作为基础模型,它能进一步开发成更复杂、更加参数化和数据依赖的程序。分析了二维和三维模型参数系统灵敏度,以评价几个参数对沉降盆地形态的影响。法国在19世纪所采盐矿可能已经破坏咸淡水平衡而引发地面沉降,以此为例检验了耦合水流(达西定律)和沉降(经验模型)过程的三维有限有元模型,通过灵敏度分析评价了水流和沉降参数的影响。
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Vong, C.Q., Gourdier, S. & Bazargan-Sabet, B. A Robust Model Coupling Subsidence with Salt Dissolution. Mine Water Environ 38, 166–177 (2019). https://doi.org/10.1007/s10230-018-0552-y
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DOI: https://doi.org/10.1007/s10230-018-0552-y