Dissociation kinetics of methane hydrate in frozen rocks at decreasing external pressure: mathematical and laboratory modeling

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Abstract

Dissociation of pore methane hydrate in ice- and gas-bearing sediments at external pressure below the equilibrium has been simulated in mathematical and physical (laboratory) models. The mathematical model, along with the experiment, provides constraints on dissociation kinetics. The suggested theoretical model confirms the trend of decreasing hydrate saturation of frozen soil Sh~Aτ(-n). observed previously in experiments. The physical model makes basis for calculating the coefficients A and n, while the mathematical modeling shows how the coefficients depend on the problem parameters. The theoretical estimates agree with the experimental results, both qualitatively and quantitatively. The results of mathematical and physical modeling have implications for key factors that control self-preservation of pore methane hydrates in frozen sediments.

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About the authors

M. Ramazanov

Branch of the Joint Institute of High Temperatures, Russian Academy of Sciences; Sadovsky Institute of Geosphere Dynamics

Author for correspondence.
Email: dannaukiozemle@yandex.ru

Institute for Problems of Geothermy and Renewable Energy

Russian Federation, Makhachkala; Moscow

N. Bulgakova

Branch of the Joint Institute of High Temperatures, Russian Academy of Sciences; Dagestan State University of National Economy

Email: dannaukiozemle@yandex.ru

Institute for Problems of Geothermy and Renewable Energy

Russian Federation, Makhachkala; Makhachkala

L. Lobkovsky

Shirshov Institute of Oceanology, Russian Academy of Sciences; Tomsk State University

Email: dannaukiozemle@yandex.ru

Academician of the RAS, Science Department

Russian Federation, Moscow; Tomsk

E. Chuvilin

Tomsk State University; Skolkovo Institute of Science and Technology (Skoltech)

Email: dannaukiozemle@yandex.ru

Science Department, Center for Petroleum Science and Engineering

Russian Federation, Tomsk; Skolkovo Innovation Center, Moscow

D. Davletshina

Sadovsky Institute of Geosphere Dynamics; Tomsk State University; Skolkovo Institute of Sci-ence and Technology (Skoltech)

Email: dannaukiozemle@yandex.ru

Science Department, Center for Petroleum Science and Engineering

Russian Federation, Moscow; Tomsk; Skolkovo Innovation Center, Moscow

N. Shakhova

Sadovsky Institute of Geosphere Dynamics; Tomsk State University; V.I. Il’ichev Pacific Oceanological Institute, Far Eastern Branch Russian Academy of Sciences

Email: dannaukiozemle@yandex.ru

Science Department

Russian Federation, Moscow; Tomsk; Vladivostok

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Supplementary files

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2. Fig. 1. Schematic model of the pore space of frozen gas hydrate-saturated sandy soil under equilibrium and nonequilibrium conditions.

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3. Fig. 2. Three-layer diagram of the dissociation of a gas hydrate granule: (1) – ice crust of thickness δ; (2) – thin layer of methane formed during the decomposition of the gas hydrate; (3) – undissolved methane hydrate, the thermodynamic conditions of which correspond to a steady state.

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4. Fig. 3. Change in hydrate saturation (Sh) of frozen sand over time at −6°C with a decrease in gas pressure from equilibrium to 0.1 MPa.

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5. Table 1

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