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K.S. developed the analytical model.

Figure 1: Model validation with numerical model and analytical model.

Then, we verify the semi-analytical model against a numerical model and an analytical model.

Author Contributions S.R.C. led the development of the analytical model.

Figure 1 shows a good match of gas flow rate and cumulative gas production between the semi-analytical model and numerical model and analytical model.

An analytical model for the cross-sectional area of a CME as it propagates anti-sunward.

An Analytical Model for Real Gas Flow in Shale Nanopores with Non-Circular Cross-Section.

The analytical model explains the trends observed in the experiments.

The change in CME cross-sectional area, computed by numerically integrating the analytical model, is shown in Fig. 2a.

(d) Steady-state temperatures for different Ni and initializations as calculated by the MD simulation and analytical model.

The hot and cold steady-state temperatures, according to the analytical model, are in good agreement with the MD result.