Table 4 Comparison of the proposed model with existing creep models.

From: Experimental study on creep mechanical properties and failure modes of anthracite in dry and saturated states

Model

Ability to describe accelerated creep stage

Consideration of water-induced damage

Physical interpretability of parameters

Proposed model

Yes, via a nonlinear damage viscous-plastic element.

Yes, implicitly reflected by the variation of identified parameters (e.g., lower E, lower η) under saturated state.

Yes, all parameters (E1, E2, η1, η2, η3, σ) have clear physical meanings.

Improved Nishihara model [14]

No, cannot describe the accelerated creep stage.

No, the model itself does not incorporate a damage variable; water effect is analyzed separately.

Yes, parameters are physically interpretable.

Expansion creep damage model [16]

Yes, through a damage variable related to hydration expansion.

Yes, explicitly incorporates a hydration-damage variable.

Moderate, the introduction of expansion and damage variables increases complexity.

SBN-Burgers model [17]

Yes, achieved by the combination of nonlinear elements.

No, the model is developed for saturated rock but does not include a separate damage variable for water.

Weak, some parameters are empirical and lack direct physical meaning.