Sounds like you have a HBU problem......trying to decide what it is.
On the valuation of a mineral/property rights when use is any type of quarry or pit operation for mineral extraction, it's generally a discounting problem. How much total product is available to extract, how soon can you exact it and what does the holder of the mineral estate earn, either as a net to operations, or in a cleaner fashion, as royalty income. A royalty rate cleans up the cash flow picture a lot. Later on, when the property is mined out, what is the HBU of the reversion?
So the goal is to predict annal cash flows and reversion, which you discount at a rate. The question then becomes, what rate? If you were doing a direct cap rate, theory would have you load the rate at least 1/n for recovery of the investment in the wasting asset, plus risk, etc. Depreciation almost sounds like a changing value scenario, which it is, so you can expect to load a discount rate too. This is NOT a band of investment solution. Much more complicated than that.
Best to find sales and work the discount rate from them. Typically it's high....double digit high. A lot can go wrong with this stunt, so risk it higher than you might think.