Comparison of Numerically Stable Methods for Implementation of a Double Porosity Model with First-Order Reaction Terms

Lowrey, Justin D.; Osborne, Andrew G.; Biegalski, Steven R; Deinert, Mark

doi:10.1007/s11242-014-0389-1

Cited by 3 publications

(3 citation statements)

References 26 publications

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“…FEHM is used by Jordan et al (2014Jordan et al ( , 2015, Harp et al (2018), and Bourret et al (2020) for instance. Other codes are used by Lowrey et al (2013Lowrey et al ( , 2015.…”

Section: Introductionmentioning

confidence: 99%

Two-Phase Flow, Heat and Mass Transfer and Tracer Transport to the Atmosphere from Underground Nuclear Cavities Through Fractured Porous Media

Pazdniakou¹,

Mourzenko

Thovert

et al. 2022

Pure Appl. Geophys.

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Underground nuclear explosions generate non-isothermal two-phase flows, heat and mass transfer, and tracer transport through fractured porous media. The governing equations of these coupled phenomena on the Darcy scale are presented and the corresponding numerical code is briefly described. Two configurations are considered. In the first one, the damaged zone generated by the explosion is replaced by equivalent macroscopic boundary conditions at the bottom of the medium.Vapor condensation at distance from this zone plays a crucial role and slows down the tracer transport to the ground surface, while the presence of hot liquid water and of hot rubble particles in it accelerates it. In the second configuration, the damaged zone itself is treated as a porous medium with specific properties and is integrated in the simulation domain. Several regions can be distinguished with different properties, such as the chimney, the cavity, the solidified magma, the fractured porous medium, and the intact porous medium. Phase change, heat transfer and tracer transport can be detailed in these regions and at the boundaries between them. Among the most important conclusions, the role of phase change, of the thermal properties and therefore of the temperature, is pointed out.

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“…FEHM is used by Jordan et al (2014Jordan et al ( , 2015, Harp et al (2018), and Bourret et al (2020) for instance. Other codes are used by Lowrey et al (2013Lowrey et al ( , 2015.…”

Section: Introductionmentioning

confidence: 99%

Two-Phase Flow, Heat and Mass Transfer and Tracer Transport to the Atmosphere from Underground Nuclear Cavities Through Fractured Porous Media

Pazdniakou¹,

Mourzenko

Thovert

et al. 2022

Pure Appl. Geophys.

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“…Similarly, the analytical models developed here do not depend on the batch-mode or closed-system assumptions by following the model development of Carrigan et al (2020b). In the cavity-melt partitioning model of Carrigan et al (2020b), xenon production and transport from a UNE are described using partial differential equations (PDEs) governing multiphase flow and transport and ordinary differential equations (ODEs) governing radioactive decay and ingrowth (Carrigan and Sun 2014;Carrigan 2014, 2016;Lowrey et al 2015;Sun et al 2015;Jordan et al 2015;Sloan et al 2016;Bourret et al 2019;Harp et al 2019;Carrigan et al 2020a). To mitigate the difficulty and high computational expense of solving the coupled PDEs and ODEs of transport and the complex decay/ingrowth networks necessary in evaluating details of the linkage between the physical and chemical evolution of the cavity, closedform solutions may be developed.…”

Section: Introductionmentioning

confidence: 99%

A Closed-form Solution for Source-term Emission of Xenon Isotopes from Underground Nuclear Explosions

et al. 2021

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Isotopic ratios of radioactive xenons sampled in the subsurface and atmosphere can be used to detect underground nuclear explosions (UNEs) and civilian nuclear reactors. Disparities in the half-lives of the radioactive decay chains are principally responsible for time-dependent concentrations of xenon isotopes. Contrasting timescales, combined with modern detection capabilities, make the xenon isotopic family a desirable surrogate for UNE detection. However, without including the physical details of post-detonation cavity changes that affect radioxenon evolution and subsurface transport, a UNE is treated as an idealized system that is both closed and well mixed for estimating xenon isotopic ratios and their correlations so that the spatially dependent behavior of xenon production, cavity leakage, and transport are overlooked. In this paper, we developed a multi-compartment model with radioactive decay and interactions between compartments. The model does not require the detailed domain geometry and parameterization that is normally needed by high-fidelity computer simulations, but can represent nuclide evolution within a compartment and migration among compartments under certain conditions. The closed-form solution to all nuclides in the series 131–136 is derived using analytical singular-value decomposition. The solution is further used to express xenon ratios as functions of time and compartment position.

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“…Single-fracture and plane-parallel fracture models have produced good matches to tracer gas data using this conceptual model for gas migration, and have been used to predict UNE gas breakthrough timing and isotopic fractionation 6 10 11 12 . Such models are simple to build using numerical or analytical solutions 13 14 15 16 17 , and are extremely useful for understanding characteristics of barometrically pumped systems, but they neglect the effects of heterogeneous, anisotropic fracturing. Gas transport via barometric pumping through complex 3-D fracture networks has also been examined 18 .…”

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confidence: 99%

Radionuclide Gas Transport through Nuclear Explosion-Generated Fracture Networks

Jordan

Stauffer

Knight

et al. 2015

Sci Rep

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Underground nuclear weapon testing produces radionuclide gases which may seep to the surface. Barometric pumping of gas through explosion-fractured rock is investigated using a new sequentially-coupled hydrodynamic rock damage/gas transport model. Fracture networks are produced for two rock types (granite and tuff) and three depths of burial. The fracture networks are integrated into a flow and transport numerical model driven by surface pressure signals of differing amplitude and variability. There are major differences between predictions using a realistic fracture network and prior results that used a simplified geometry. Matrix porosity and maximum fracture aperture have the greatest impact on gas breakthrough time and window of opportunity for detection, with different effects between granite and tuff simulations highlighting the importance of accurately simulating the fracture network. In particular, maximum fracture aperture has an opposite effect on tuff and granite, due to different damage patterns and their effect on the barometric pumping process. From stochastic simulations using randomly generated hydrogeologic parameters, normalized detection curves are presented to show differences in optimal sampling time for granite and tuff simulations. Seasonal and location-based effects on breakthrough, which occur due to differences in barometric forcing, are stronger where the barometric signal is highly variable.

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Comparison of Numerically Stable Methods for Implementation of a Double Porosity Model with First-Order Reaction Terms

Cited by 3 publications

References 26 publications

Two-Phase Flow, Heat and Mass Transfer and Tracer Transport to the Atmosphere from Underground Nuclear Cavities Through Fractured Porous Media

Two-Phase Flow, Heat and Mass Transfer and Tracer Transport to the Atmosphere from Underground Nuclear Cavities Through Fractured Porous Media

A Closed-form Solution for Source-term Emission of Xenon Isotopes from Underground Nuclear Explosions

Radionuclide Gas Transport through Nuclear Explosion-Generated Fracture Networks

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