Conventional multiphysics for coal
seam gas production is generally
coupled with poroelasticity-based coal permeability models, which
are derived under the assumption that gas pressure is distributed
uniformly within the representative elementary volume (REV). Under
this assumption, the pore swelling/shrinking strain is equal to the
bulk one. However, this assumption is considered as the primary reason
for the inconsistency between experimental data, field data, and model
results. In this study, a new concept of differential strain index
(DSI) is proposed to theoretically define the relation among desorption-induced
strains of the coal bulk, pores and solid grains. DSI is a function
of the gas pressure, and its magnitudes are regulated by the Langmuir
constants of both the solid grains and the coal bulk. Furthermore,
a DSI-based coal permeability model is incorporated into the coupled
multiphysics model for coal seam gas production. The model results
of both laboratory-scale and field-scale show that coal permeability
changes over a wide range during gas production. These changes are
controlled by the DSI, and the magnitudes of change are defined by
the Langmuir strain ratio of solid grains to coal bulk, while the
trends of change are defined by the Langmuir pressure ratio of solid
grains to bulk coal.