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Commit 9c0e47a6 authored by Johannes Hommel's avatar Johannes Hommel
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Merge branch 'fix/biomineralizationReactionsREADME' into 'master'

[dumux-course] [biomin] Expand on reaction equations in the biomin README.md for clarity

See merge request !110
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1 merge request!110[dumux-course] [biomin] Expand on reaction equations in the biomin README.md for clarity
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...@@ -57,15 +57,27 @@ Note, that the urease concentration $`\displaystyle Z_{urease,biofilm}`$ has a k ...@@ -57,15 +57,27 @@ Note, that the urease concentration $`\displaystyle Z_{urease,biofilm}`$ has a k
$`\displaystyle Z_{urease,biofilm} = k_{urease,biofilm} * mass_{biofilm}`$ $`\displaystyle Z_{urease,biofilm} = k_{urease,biofilm} * mass_{biofilm}`$
The last step is defining the source term for each component according to the chemical equation: The last step is defining the source term for each component according to the chemical reaction equations:
$`\displaystyle Ca^{2+} + CO(NH)_{2} + 2 H_{2}O -> 2 NH_{4}^{+} + CaCO_{3}`$ $`\displaystyle CO(NH_{2})_{2} + 2 H_{2}O -> 2 NH_{3} + H_{2}CO_{3}`$
which is: $`\displaystyle Ca^{2+} + CO_{3}^{2-} -> CaCO_{3}`$
Calcium ion + Urea + 2 Water → 2 Ammonium ions + Calcite Or the total chemical reaction equation, in which the appearence of inorganic carbon species cancels out:
$`\displaystyle Ca^{2+} + CO(NH_{2})_{2} + 2 H_{2}O -> 2 NH_{4}^{+} + CaCO_{3}`$
which, written in terms of our primary variables are:
Urea + 2 Water → (2 Ammonia) + Total Carbon
Calcium ion + Total Carbon → Calcite
Calcium ion + Urea + 2 Water → (2 Ammonium ions) + Calcite
Note that since the chemistry is simplified for this dumux-course example, the component Ammonium is neglected and you thus cannot set its source term, even though it is produced in the real reaction. Note that since the chemistry is simplified for this dumux-course example, the component Ammonium is neglected and you thus cannot set its source term, even though it is produced in the real reaction.
Similarly, we only account for "Total Carbon", which is the sum of all carbon species
($`CO_{2}`$, $`H_{2}CO_{3}`$, $`HCO_{3}^{-}`$, and $`CO_{3}^{2-}`$).
### 3. Make use of your newly created chemical equation ### 3. Make use of your newly created chemical equation
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...@@ -17,8 +17,8 @@ InitPressure = 1e5 # [Pa] initial pressure ...@@ -17,8 +17,8 @@ InitPressure = 1e5 # [Pa] initial pressure
InitBiofilm = 0.05 # [-] initial volumefraction biofilm InitBiofilm = 0.05 # [-] initial volumefraction biofilm
[Injection] [Injection]
InjVolumeflux = 1e-4 # [m³/s] = [ml/min] /[s/min] /[ml/m³] InjVolumeflux = 1e-5 # [m³/s] = [ml/min] /[s/min] /[ml/m³]
InjBioTime = 12 # [days] InjBioTime = 10 # [days]
InjCO2 = 1e-2 # [kg/s] gasFlux InjCO2 = 1e-2 # [kg/s] gasFlux
ConcCa = 40 # [kg/m³] injected calcium concentration (max: 50) ConcCa = 40 # [kg/m³] injected calcium concentration (max: 50)
ConcUrea = 60 # [kg/m³] injected urea concentration (max: 80) ConcUrea = 60 # [kg/m³] injected urea concentration (max: 80)
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