Veins Utilization (Upgrade)

From the Dyson Sphere Program Wiki
Veins Utilization
Lv1
Tech Veins Utilization 1.png
Unlocks:
-6% ore consumption / miner product
+10% mining speed
Research Consumption
Icon Electromagnetic Matrix.png
400
Icon Energy Matrix.png
400
Data Volume
36.0k Hashes

Maximizes the utilization of resources, which can greatly reduce the ores consumed in each mining operation and increase the mining speed.

Summary

Veins Utilization is an repeatable upgrade that applies a -6% ore consumption / miner product (power of 0.94 per level) and +10% mining speed (multiple of +10% per level). The ore consumption decreases exponentially, while the mining speed and cost in universe matrix and hashes increases linearly. The speed increasement also affects on Oil Extractor, Water Pump and Orbital Collector.

Levels

Level Icon ID Resource Consumption Hashes Unlocks Net Gain (Total)
1 3601
 
400
 
400
36.0k -6% ore consume / miner product.

+10% mining speed.

-6% ore consume / miner product (94%).

+10% mining speed (110%).

2 3602
 
1000
 
1000
 
1000
180k -6% ore consume / miner product.

+10% mining speed.

-11.6% ore consume / miner product (≈88.4%).

+20% mining speed (120%).

3 3603
 
1000
 
1000
 
1000
 
1000
180k -6% ore consume / miner product.

+10% mining speed.

-16.9% ore consume / miner product (≈83.1%).

+30% mining speed (130%).

4 3604
 
1600
 
1600
 
1600
 
1600
480k -6% ore consume / miner product.

+10% mining speed.

-21.9% ore consume / miner product (≈78.1%).

+40% mining speed (140%).

5 3605
 
2000
 
2000
 
2000
 
2000
 
2000
1.80M -6% ore consume / miner product.

+10% mining speed.

-26.6% ore consume / miner product (≈73.4%).

+50% mining speed (150%).

6→∞ 3606
 
4000
× (LVL-5)
900 / -6% ore consume / miner product.

+10% mining speed.

Total ore consumption: =0.94^LVL

Total mining speed: 100+10*LVL%

Technically, the maximum level is 10,000, with 199,820,040,000 Universe Matrices (white cubes). The cost for each subsequent level increases linearly by +4,000 universe matrix (+3,600,000 hashes). The lowest ore consumption you can get is 1.121039E-44 at level 1633, which will consume 5,304,024,000 white cubes.

The decrease in ore consumption allows a vein to last longer, helping stretch the supply of rare resources. Ore consumption decreases multiplicatively but the mining speed increases only linearly. In the beginning, the mining speed will dominate over the ore consumption effect, so you'll notice your veins depleting faster, assuming your miners go at top efficiency (i.e. can send all that they produce). This effect peaks at L6, when the ores will deplete at the highest possible rate, roughly 10% faster than at L0. The break-even level for this is L17, when the ore consumption effect starts to finally dominate, giving you about same vein depletion speed as at L0. Further on, you'll only notice slower resource loss, with L36 giving you half the L0 vein consumption, L52 giving 1/4, and L71 reducing it to about 10% of base. See table below for more details.

Getting to L31 for the first time gives you the "Firing on all cylinders" achievement.

Prerequisite Technologies

Research and resource consumption

  • Hashes cost formula for Level >= 6
    • 3,600,000 * (Level - 5) Hashes
  • Cost formula for Level >= 6
    • 4,000 * (Level - 5) Universe Matrix
Table of Research and Resource Consumption
Level Hashes 1 vein mining speed (x / min) Vein reserves used in 1 min Product per reserve Crude Oil Seep half-life (hours)
Base 30.0 30.0 1 12.0
1 36,000 33.0 31.0 1.06 11.61
2 180,000 36.0 31.8 1.13 11.32
3 180,000 39.0 32.4 1.20 11.11
4 480,000 42.0 32.8 1.28 10.98
5 1,800,000 45.0 33.0 1.36 10.90
n 4000 * ( n - 5 ) 3,600,000 * ( n - 5 ) 30 * ( 1 + 0.1 * n ) 30 * ( ( 1 + 0.1 * n ) * 0.94 ^ n ) 1 / (0.94 ^ n ) 12 / ( ( 1 + 0.1 * n ) * 0.94 ^ n )
6 4,000 3,600,000 48.0 33.1 1.45 10.87
7 8,000 7,200,000 51.0 33.1 1.54 10.89
8 12,000 10,800,000 54.0 32.9 1.64 10.94
9 16,000 14,400,000 57.0 32.7 1.75 11.02
10 20,000 18,000,000 60.0 32.3 1.86 11.14
17 48,000 43,200,000 81.0 29.6 2.86 12.72
20 60,000 54,000,000 90.0 26.1 3.45 13.79
100 380,000 342,000,000 330.0 0.7 487 530.89 (~7 months)
200 780,000 702,000,000 630.0 0.003 236826 135329 (~15.4 yrs)
500 1,980,000 1,782,000,000 1530.0 0.0000000001 2.7E13 6.42E+12 (~733 mln yrs)
590 2,340,000 2,106,000,000 1800.0 2.52E-13 7E+15 1.43E+015 (~163 bln yrs)
1000 3,980,000 3,582,000,000 1800.0 2.42E-24 7E+26 8.85E+025 (~10 sextillion yrs)
10000 39,980,000 35,982,000,000 1800.0 3.42E-266 5E+268 6.31E+266 (~7.21E+262 yrs)


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