Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs

Abstract

We present an extrapolation-based semi-implicit multirate time stepping (MRT) scheme and a compound-fast MRT scheme for a naturally partitioned, multi-time-scale hydro-geomechanical hydrate reservoir model. We evaluate the performance of the two MRT methods compared to an iteratively coupled solution scheme and discuss their advantages and disadvantages. The performance of the two MRT methods is evaluated in terms of speed-up and accuracy by comparison to an iteratively coupled solution scheme. We observe that the extrapolation-based semi-implicit method gives a higher speed-up but is strongly dependent on the relative time scales of the latent (slow) and active (fast) components. On the other hand, the compound-fast method is more robust and less sensitive to the relative time scales, but gives lower speed up as compared to the semi-implicit method, especially when the relative time scales of the active and latent components are comparable.

Thermo-Hydro-Mechanical Coupled Modeling of Methane Hydrate-Bearing Sediments: Formulation and Application

“…Kimoto et al (2010) [30] Viscoplasticity with S h dependency Rutqvist (2011) [31] Mohr-Coloumb elastoplasticity with S h dependency Kim et al (2012) [32] Mohr-Coloumb elastoplasticity with S h dependency Klar et al (2013) [33] Mohr-Coloumb elastoplasticity with S h dependency Gupta et al (2016) [34] Poroelasticity with S h dependency Sun et al (2018) [35] Thermodynamics-based elastoplastic model with S h dependency Sánchez et al (2018) [36] Elastoplasticty with S h dependency + Damage model…”

Insights into the climate-driven evolution of gas hydrate-bearing permafrost sediments: implications for prediction of environmental impacts and security of energy in cold regions

“…3 Huge volumes of natural gas hydrates are deposited along the continental shelf and slope regions, and in permafrost areas, inland seas and freshwater lakes. 4 Given their remarkable gas storage capacity and abundant occurrence in nature, gas hydrate-bearing sediments are potentially regarded as low carbon energy resources in the near future. 5,6 Tremendous research effort has been conducted so far to tackle technical and economic hurdles in order to develop commercially viable and environmentally friendly exploitation techniques.…”

Coupled Numerical Modeling of Gas Hydrate‐Bearing Sediments: From Laboratory to Field‐Scale Analyses

“…This iterative coupling scheme was able to solve the coupled problem as rigorously as a fully coupled approach when iterates to full convergence. Gupta et al () extended their work by developing several multirate time stepping solution schemes. Gupta et al () proposed a THMC code for HBS based on a simplified coupling concept for linking different simulators.…”