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 theperformance of the two MRT methods compared to an iteratively coupled solutionscheme and discuss their advantages and disadvantages. The performance of thetwo MRT methods is evaluated in terms of speed-up and accuracy by comparison toan iteratively coupled solution scheme. We observe that the extrapolation-basedsemi-implicit method gives a higher speed-up but is strongly dependent on therelative time scales of the latent (slow) and active (fast) components. On theother hand, the compound-fast method is more robust and less sensitive to therelative time scales, but gives lower speed up as compared to the semi-implicitmethod, especially when the relative time scales of the active and latentcomponents are comparable.
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