List of top Mine Planning Questions on Mine planning and its components

A longwall panel is to be developed in a flat seam at a depth of \( H \) m. The surface subsidence profile (\( s \)) of the area with the horizontal distance \( x \) is estimated as \[ s = \frac{S_{{max}}}{2} \left[ 1.002 - \tanh \left( \frac{4.8x}{H} \right) \right], \] where \( S_{{max}} \) is the maximum subsidence at the centre of the panel, \( x \) is measured from the inflection point. The value of \( x \) is negative towards the panel centre and positive towards the panel boundary. The ratio between the critical width of the panel and the depth is:
A direct rope haulage has the following details:
Output = 24 tonne/hour,
Length of trip = 610 m,
Gradient = 1 in 12,
Capacity of mine car = 1.0 tonne,
Tare weight of mine car = 0.5 tonne,
Average rope speed = 1.694 m/s,
Change over time of cars = 3 minutes,
Acceleration due to gravity = 10.0 m/s².
Neglecting all frictional resistance and mass of the rope, the minimum power required, in kW, to raise the loaded mine cars is:
In a ventilation network, three airways with resistances of 4.0 Ns\( ^2 \)m\( ^{-8} \), 6.25 Ns\( ^2 \)m\( ^{-8} \) and 9.0 Ns\( ^2 \)m\( ^{-8} \) are connected in parallel.

The equivalent resistance of the network in Ns\( ^2 \)m\( ^{-8} \) is _________ (rounded off to 2 decimal places)}
A double-ended ranging drum (DERD) shearer uni-directionally cuts coal in a longwall panel having the following details:
Shearer drum diameter = 1.4 m
Panel dimension = 1200 m × 200 m × 2.4 m
Web depth = 0.6 m
Average cutting speed = 5 m/minute
Average retreating speed = 10 m/minute
Average operational delay between cuts is 2 hour. There are two production shifts, each of 8 hour duration. The number of days required for complete extraction of the panel is:

The information of a mining project for a life of three years is given below:

Additional data: Applicable tax rate = 30% 
Discount rate = 10% 
Depreciation method: Straight line with zero salvage value

Data from a borehole log with collar elevation at 590 mRL are given below. Composite grade is calculated using cores of 5 m above and below the reference bench at 580 mRL. The composite grade, in %, is:


 

A 2.5 tonne diesel locomotive hauls 5 mine cars upslope having a gradient of 1 in 20. The constant tractive force of the locomotive is 1800 kN. The gross weight of a car is 3 tonne. Acceleration due to gravity is 10.0 m/s\(^2\). If the acceleration of the system is 0.5 m/s\(^2\), the rolling resistance in kN/tonne is ________ (rounded off to 3 decimal places).
In a sublevel stope, a ringhole blast round is designed for winning 2500 tonne of ore with 8.0% metal content. The blast results into breakage of 90.0% of the design blast round. Overbreak of 250 tonne wallrock with 0.5% metal content dilutes the blasted ore. The total metal content, in tonne, considering 95% recovery of the blasted muck from the stope, is:
A continuous miner serves two shuttle cars of 12 tonne capacity each. Shuttle cars I and II operate with a total cycle time of 12 minutes and 15 minutes respectively, which includes loading time of 8 minutes for each car. The production rate of the continuous miner, in tonne/hour, is:

Following information are given for three mines of a company receiving explosives from three suppliers. 

Considering the initial basic feasible solution of this transportation problem, using North-West corner method, the transportation cost of explosives supplied to the company, in Rs., is

Match the type of deposit with the corresponding process of formation: 


 

The relevant information on metal extraction from a copper mine are given below: Selling price of copper (Rs./kg) = 900
Mining cost (Rs./tonne of ore) = 500
Processing cost (Rs./tonne of ore) = 2000
Overall recovery of copper metal (%) = 70
Ignoring all other costs, the breakeven cutoff grade of copper, in %, is:
If the in-situ density of coal is 1320 kg/m\(^3\) and the density of blasted coal is 952 kg/m\(^3\), the swell factor is:

In a bord and pillar panel, the following data are obtained: 
Number of blasting rounds per shift: 8 
Face dimension (m × m): 4.2 × 2.5 
Average pull (m): 1.2 
Specific gravity of coal: 1.4 
Manpower per shift: 100 
The OMS (output per manshift) of the panel, in tonne, is __________ (rounded off to 2 decimal places)}

The unadjusted RMR of a tunnel roof is 64. A single joint set exists in the roof as shown in the figure. 

Using the abridged RMR table for adjustment orientation, the RMR is _______ (in integer)
 

As per CMR 2017, haulage ropes shall be recapped once at least in every:

Pressure head characteristic of a mine fan and a mine characteristic curves are shown in the figure below: 


Match the points with their corresponding nomenclatures

The metal that belongs to Rare Earth Element category is
The safety device used to arrest forward runaway tubs in rope haulage is
A steeply dipping metalliferous ore body is non-susceptible to spontaneous heating. The blasted ore is used as the platform to work in a stope. Appropriate mining method for this orebody is
A pit slope has the following information: Number of benches = 5, Height of each bench = 8 m, Bench slope angle = 70° If the width of one bench is 24 m and that of other four benches is 10 m each, the overall pit slope angle, in degree, is ________ (rounded off to 2 decimal places).
In a surface mine, blasting is carried out using electronic detonator and cartridge emulsion explosive with the following details: Burden = 3.5 m, Spacing = 4.5 m, Bench height = 10.0 m, Subgrade drilling = 1.0 m, Stemming = 4.0 m, Linear charge concentration = 16 kg/m, Cost of one detonator = Rs. 800, Cost of explosive = Rs. 30/kg. The cost of blasting material per cubic meter of blasted rock, in Rs., is ________ (rounded off to 2 decimal places).
In a depillaring face of an underground coal mine, both wet and dry bulb temperatures are 30 ℃. The relative humidity of the face environment, in percentage, is
The function of District Mineral Foundation established by state governments in India, is to