Discussion - Optimal Sizing of Conventionally-Sunk Ventilation Shafts Based Upon Capital and Operating Criteria – Technical Paper, MINING ENGINEERING, Vol. 31, No., January 1979, pp. 47-54 – Wang, Y. J., Mutmansky, Jan M. and Walrod, Gordon H.

The approach proposed in this paper is, as stated by the authors, an update of methods well discussed in the literature. The authors are to be congratulated for their excellent effort in quantifying a difficult problem with realistic cost data. Economic analysis of the components of a mine ventilation system is complicated by both the dynamic nature of the system and the uncertainty as to the time when system changes occur. We wish to address three specific areas of this paper which require further consideration: shaft designed air capacity, shaft location, and economic criteria used within the analysis. With regard to ventilation shaft size optimization, the system complexities are illustrated in the quantity flow through the shaft. Obviously, the capacity chosen by the designer is a static parameter while the utilized capacity is usually a dynamic variable over the life of the shaft. The designed capacity may be used for a short or a long period, and this may occur during the beginning, middle, or near the end of the shaft life, leading to different operating costs at different times. Operating costs, as shown by the authors' Eq. 8 are more dependent on air quantity than any other single factor (quantity cubed as compared with other factors to the single power); hence, extreme accuracy in the assessment of some of the other factors discussed by the authors may be secondary to the quantity estimation. Incorporation of a variable usage factor for air quantity over the life of the shaft in this optimization problem deserves some consideration. Although the authors have chosen to examine optimum ventilation shaft sizing, it must be remembered that optimization of the whole system-is the primary objective of any optimization process; unit optimization of such items as shafts may not complement the overall process. We have discussed this subject in some detail in another paper in this Transactions volume (Luxbacher and Ramani, 1979). While the recommended process by Wang, et al. can be used in shaft sizing, the shaft operating conditions (pressure head and air quantity) are intertwined with the shaft location within the mine infrastructure: