Disasters caused by the spontaneous
combustion of coal have occurred
in major coal-producing countries, resulting in the loss of resources
and human life and severe environmental pollution. The development
of an efficient model to calculate the shortest spontaneous combustion
period (SSCP) has been a long-standing challenge. In this study, we
propose a continuous model that calculates the SSCP by changing the
traditional time summation form into a time integration form. The
proposed model can reduce the calculation errors and determine the
heating time to any temperature, which overcomes the limitations of
the traditional model. The accuracy and convenience of the improved
model were validated through a comparison with the results of the
traditional model and a numerical model. The parameter sensitivities
were analyzed in the improved model. The results showed that the SSCPs
calculated using the improved continuous model are in good agreement
with those of the traditional and numerical models. The results also
indicated that the continuous model is more accurate and convenient
than the traditional model. Parameters such as the heat release intensity,
water content, specific heat capacity, and gas content influence the
SSCP results in the sensitivity analysis. This model can potentially
help prevent and control the risk of coal spontaneous combustion and
should be further tested in practical mine management.