Rock Cycle Model  

The purpose of this activity is to demonstrate the principle of conservation of mass through the rock cycle. When students create the model, the various parts and processes in the rock cycle are reinforced for them.

TEACHER RESOURCES

Teacher Materials
Student Activity 1
Student Activity 2
Learning
   Goals/Standards


COMPUTER MODELS

STELLA Versions Vensim Version
THE MODEL DIAGRAM



THE EQUATIONS
Igneous_Rock(t) = Igneous_Rock(t - dt) + (Crystallization - Sedimentation - IgnMetamorphism - IgnMelting) * dt    INIT Igneous_Rock = .31*Total_Initial_Rock
Magma(t) = Magma(t - dt) + (SedMelting + Metamelting + IgnMelting - Crystallization) * dt
   INIT Magma = .16*Total_Initial_Rock
Metamorphic_Rock(t) = Metamorphic_Rock(t - dt) + (SedMetamorphism + IgnMetamorphism - Metamelting - MetaSedimentation) * dt
   INIT Metamorphic_Rock = .22*Total_Initial_Rock
Sediment(t) = Sediment(t - dt) + (Sedimentation + MetaSedimentation + SedSedimentation - Lithification) * dt
   INIT Sediment = .1*Total_Initial_Rock
Sedimentary_Rock(t) = Sedimentary_Rock(t - dt) + (Lithification - SedMetamorphism - SedMelting - SedSedimentation) * dt
   INIT Sedimentary_Rock = .21*Total_Initial_Rock

Crystallization = Magma*Cooling_Rate
Sedimentation = Igneous_Rock*WeathErosionRate
IgnMetamorphism = Igneous_Rock*IgnMetaRate
IgnMelting = Igneous_Rock*IgnMeltingRate
SedMelting = Sedimentary_Rock*SedMeltingRate
Metamelting = Metamorphic_Rock*MetaMeltingRate
SedMetamorphism = Sedimentary_Rock*SedMetaRate
Metamelting = Metamorphic_Rock*MetaMeltingRate
MetaSedimentation = Metamorphic_Rock*MetaSedRate
SedSedimentation = Sedimentary_Rock*SedSedRate
Lithification = Sediment*LithRate

Cooling_Rate = 1/3
IgnMeltingRate = 1/17
IgnMetaRate = 1/18
LithRate = 1/2
MetaMeltingRate = 1/10
MetaSedRate = 1/12
SedMeltingRate = 1/12
SedMetaRate = 1/12
SedSedRate = 1/14
Total_Initial_Rock = 5974 {10^24 grams}
WeathErosionRate = 1/18

THE OUTPUT



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