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An introduction to thermodynamic modeling of fluid-rock interaction and ore-forming processes using GEMS ORGANIZERS: ALEXANDER GYSI [email protected], NICOLE HURTIG [email protected], DAN MIRON [email protected] 2 days Online Workshop, Geochemical Society Tuesday Dec 8 – Wednesday Dec 9, 2020

An introduction to thermodynamic modeling of fluid-rock

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Page 1: An introduction to thermodynamic modeling of fluid-rock

An introduction to thermodynamic modeling of fluid-rock interaction and ore-forming

processes using GEMS

ORGANIZERS: ALEXANDER GYSI [email protected], NICOLE HURTIG [email protected], DAN MIRON [email protected]

2 days Online Workshop, Geochemical Society

Tuesday Dec 8 – Wednesday Dec 9, 2020

Page 2: An introduction to thermodynamic modeling of fluid-rock

Workshop objectives

● Give you an overview of GEMS code package for simulating fluid-rock interaction in natural magmatic-hydrothermal systems

● Overview of GEM vs. LMA code (e.g. PHREEQC) and which tool is adequate for which situation

● Get you started with the MINES thermodynamic database and possible database management in GEMS

● Get you started on modeling projects with GEMS

● Discussions and scientific exchange

Page 3: An introduction to thermodynamic modeling of fluid-rock

Materials and handouts

● Code package, GEM-Selektor v. 3.7

http://gems.web.psi.ch → download program

● MINES thermodynamic database

https://geoinfo.nmt.edu/mines-tdb

→ download MINES19 files (DB19.default.zip)

● Handouts:

Tutorial gitbook: https://apgysi.github.io/gems-mines-tutorial/

Download the module project files on google drive...

Page 4: An introduction to thermodynamic modeling of fluid-rock

Workshop format

● Demonstration by organizers in the Main Zoom room (15-20 min)

● Five breakout Zoom rooms for hands-on experience by the participants (30 min)

● General Q&A (5-10 min) back to the Main Zoom room

Alex breakout rooms 1-2

Nicole breakout rooms 3-4

Dan breakout room 5

Page 5: An introduction to thermodynamic modeling of fluid-rock

Workshop program day 1

● 6-6:10am (MT)/ 14:00-14:10(CET) (Alex Gysi) Overview of the workshop and goals

● 6:10-7:00am/ 14:15-15:00 (Alex Gysi) Simulating fluid-rock interaction and ore-forming processes

● 7:00-7:50am/ 15:00-16:00 (Dan Miron) GEMSFITS, thermohub, thermodynamic databases

● Coffee break (10 min)

● 8:00-9:00am/16:00-17:00 (Alex Gysi) Module 1 Create your first project in GEM

● 9:00-10:00am/17:00-18:00 (Nicole Hurtig) Module 2 feldspar reaction path (titration model):

Page 6: An introduction to thermodynamic modeling of fluid-rock

Workshop program day 2

● 6:00-7:00am/ 14:00-15:00 (Nicole Hurtig) Module 2 feldspar reaction path (titration model) continued...

● 7:00-8:00am/ 15:00-16:00 (Alex Gysi) Module 3 Greisen alteration, leucogranite reaction path (titration)

● Coffee break (10 min)

● 8:00-9:00am/ 16:00-17:00 (Alex Gysi) Module 4 Greisen alteration, cassiterite solubility and Sn speciation (multipass model)

● 9:00-10:00am/ 17:00-18:00 (Nicole Hurtig) Module 4 Greisen alteration, cassiterite solubility and Sn speciation (singlepass cooling model):

● Q&A? Additional Demo? Closing workshop session

Page 7: An introduction to thermodynamic modeling of fluid-rock

Simulation of fluid-rock interaction and ore-forming processes

Alexander Gysi New Mexico Bureau of Geology and Mineral Resources

[email protected]

Central City, CO, USALandmannalaugar, Iceland

Page 8: An introduction to thermodynamic modeling of fluid-rock

Blue Lagoon Iceland

Hydrothermal fluids at shallow depth

Page 9: An introduction to thermodynamic modeling of fluid-rock

Hydrothermal fluids at shallow depth

Covellite(Cu-sulfide)

Chalcantite(Cu-sulfate)

Gypsum

Krisuvik, Iceland

Volcano, Italy

Page 10: An introduction to thermodynamic modeling of fluid-rock

Porphyry and epithermal systems

L. Robb book “Intro Ore-forming processes” (2005)

Page 11: An introduction to thermodynamic modeling of fluid-rock

Seedorff and Einaudi (2004b)Seedorff and Einaudi (2004a)

Hydrothermal fluids trapped at depth

Henderson Porphyry Mo system, Colorado, USA

Page 12: An introduction to thermodynamic modeling of fluid-rock

● Mineral assemblages in ore deposits indicate specific conditions of fluid-rock reactions

● Thermodynamic phase diagrams and modeling scenarios can tell us about P-T-x conditions of crustal fluids

● x includes pH, salinity, activities of ions (Na+/K+, …), which we can’t all determine from fluid inclusion data

● The key in the modeling process is the path to understanding of these fluids rather than details and time spent on these models...

Constraining the evolution of hydrothermal fluids from a thermodynamic modeling

perspective

Page 13: An introduction to thermodynamic modeling of fluid-rock

K-feldspar (KAlSi3O8)

quartz (SiO2) ±hematite ±fluorite

+Ca + F+ REE3+ +Fe +SiO2(aq)+H2O added by fluid

+K released by fluid

hematitefluorite

Kfs

Link mineralogical observations with alteration processes

Qtz

Page 14: An introduction to thermodynamic modeling of fluid-rock

Dissolution texture of feldspar in peralkaline granite

Strange Lake peralkaline REE-Zr-Nb deposit, QC, Canada

Page 15: An introduction to thermodynamic modeling of fluid-rock

● The fluid acts as the acid (HCl, H2SO4, H2S, CO2) that releases protons (H+).

● The rock acts as the base and consumes protons (H+) during rock alteration.

3KAlSi3O8 (K-feldspar)+2H+ =

KAl3Si3O10(OH)2(muscovite)+6SiO2(quartz)+2K+

Fluid-rock interaction as an acid-base titration

Rock = base

Fluid = acid

Page 16: An introduction to thermodynamic modeling of fluid-rock

Feldspar hydrolysis model

KAlSi3O8 (Kfs)+4H++4H2O= K++Al3++3H4SiO4(aq)

+

Al(OH)3(s) (Gibbsite)Al2Si2O5(OH)4 (Kaolinite)KAl2(AlSi3)O10(OH)2 (Muscovite)

Zhu and Lu, GCA 2009. See also Helgeson et al. (1969)

Page 17: An introduction to thermodynamic modeling of fluid-rock

Feldspar hydrolysis model

Increased reaction progress (g feldspar added)

Feldspar titration model, GEMS tutorial module 2

Page 18: An introduction to thermodynamic modeling of fluid-rock

Greisen alteration to quartz vein formation

Halter et al. (1998)

East Kemptville Sn deposit

Leucogranite

Audétat et al. (2000)

Sn-W Mole granite, Australia

Page 19: An introduction to thermodynamic modeling of fluid-rock

Greisen alteration

Increased reaction progress (g rock added)

Granite titration model @250 and 450 °C and 4kb, GEMS tutorial module 3 and 4

Page 20: An introduction to thermodynamic modeling of fluid-rock

Mobility of Sn in hydrothermal solutions● Precipitation of cassiterite according to:

Sn4+O2 (cassiterite)+2H++H2(g)+3Cl- = Sn2+Cl3- + 2H2O

● SnO2 precipitation due to ligand activity, redox, pH and/or temperature change.

Single pass fluid and cooling modelGreisenization, titration

model

Page 21: An introduction to thermodynamic modeling of fluid-rock

Numerical modeling of reaction paths in complex fluid-rock

systems

Page 22: An introduction to thermodynamic modeling of fluid-rock

Numerical methods to solve the reaction paths of fluid-mineral systems

Aqueous geochemistry:

● Law of mass action (using logK), e.g. PHREEQC and Geochemist’s Workbench

Metamorphic/igneous petrology and hydrothermal geochemistry:

• Gibbs energy minimization (using G), e.g. Perplex, Hch, Thermocalc, Gem-Selektor, Melts.

See also: Leal et al. (2017), Pure and Applied Chemistry 89, Issue 5, 597-643Kulik (2006), Chemical Geology 225, 189-212

Page 23: An introduction to thermodynamic modeling of fluid-rock

Law of mass action (LMA)

NaAlSi3O8 (albite) +8H2O = Na++Al(OH)4-+3H4SiO4(aq)

• Equilibrium constant:

• Activity of aqueous species:

• List of aqueous species:(Na+, Al3+,Al(OH)4

-, H+, OH-, H2O(aq))

• Mass balance equations:[Al]tot=mAl3+ + mAl(OH)4

-

[H]tot=mH++ mOH-+ mH2O(aq) …

● Charge balance:

Charge=3Al3+ + Na++ H++ Al(OH)4-+ OH- = 0

Page 24: An introduction to thermodynamic modeling of fluid-rock

Gibbs energy minimization (GEM)

NaAlSi3O8 +8H2O = Na++Al(OH)4-+3H4SiO4(aq)

● List of components (C):Na-Al-Si-O-H

● List of phases (Φ):Albite, quartz, H2O

• Phase rule:• Schreinemakers rule for metastable/stable reaction

• Standard Gibbs energy, chemical potentials:

Page 25: An introduction to thermodynamic modeling of fluid-rock

Law of mass action (LMA) vs. Gibbs energy minimization (GEM)

•Set of master species (Al3+, H+, OH-, H2O(aq))

•Other species built from master species (Al3+ + 4OH- = Al(OH)4

-)•Database with equilibrium constants (logKr) at T and at psat.

•LMA to solve mass balance using Newton-Raphson method (Bethke, 1996).

•Mass balance using (IC) independent components (H, O, Al, …) and electric charge (z).

•Chemical species are (DC) dependent components (aqueous species, minerals, gases…) built from IC.

•Database with standard Gibbs energy (G°) corrected at P-T.

•GEM to solve mass balance using Interior Points method (Karpov et al. 2001).

LMA GEM

Page 26: An introduction to thermodynamic modeling of fluid-rock

•Redox (Eh, pe or redox pair Fe(II)/Fe(III)) and pH (or element charge balance) must be set at input.

•Only limited (binary) solid solution models.

•Fast convergence: kinetics rate laws and reactive transport model.

•pH and redox (pe, Eh) calculated from minimization.

•Solve equilibrium for complex non-ideal solutions.

•Slower convergence, but more output data from a single calculation: e.g. phase volumes, fugacity, etc...

LMA GEM

Law of mass action (LMA) vs. Gibbs energy minimization (GEM)

Page 27: An introduction to thermodynamic modeling of fluid-rock

Numerical modeling using Gibbs energy minimization (GEM)

• GEM-Selektor v.3 (http://gems.web.psi.ch)

• Free geochemical modeling software written in C/C++

• Works on Windows, Mac OSX and Linux

• Tool to simulate geochemical processes based on Gibbs energy minimization

• Calculate chemical equilibria in multicomponent and -phase systems

Page 28: An introduction to thermodynamic modeling of fluid-rock

User interface(i) Equilibria calculation mode (ii)Thermodynamic database mode

• Calculate chemical equilibrium of minerals-fluids.

• Calculate processes for rock alteration: cooling, fluid mixing, leaching etc…

• Thermodynamic properties of minerals and fluids.

• Solution models: solid solutions, non-ideal gas…

• Prepare complex rock or fluids compositions.

Page 29: An introduction to thermodynamic modeling of fluid-rock

(i) Equilibria calculation mode

Types of simulations

Input/output buttons

Speciation results

Chemical System records (P-T-x)

Equilibria calculation mode

Page 30: An introduction to thermodynamic modeling of fluid-rock

Types of simulations

• SysEq: compute equilibria (speciation, pH, redox, concentrations, stable minerals) of single chemical systems.

• Process simulator: compute a series of equilibria using single chemical systems subject to variations in P-T-x.

(P) P-T variable; bulk composition (b) fixed -> cooling

(S) Reaction path (titration), fluid mixing; composition (b) variable.

(G) Inverse titration.

(R) Sequential reactor (flushing and leaching of a rock by a fluid)

• GtDemo: Plot/compute selected modeling results.

• GEM2MT: Prepare files for 1-D reactive transport modeling.

• Project: Tune numerical controls.

Page 31: An introduction to thermodynamic modeling of fluid-rock

Demonstration of chemical equilibria calculations (SysEq) = cooking a soup

Page 32: An introduction to thermodynamic modeling of fluid-rock

Set up and calculate a chemical equilibria (SysEq)

● Define a new system (P, T).● Input of bulk chemical composition (x).● Calculate equilibrium.

Page 33: An introduction to thermodynamic modeling of fluid-rock

What GEM-Selektor does…

Page 34: An introduction to thermodynamic modeling of fluid-rock

Input bulk composition of

IC (b)

Output mole amounts DC (x)

Ax = b

Page 35: An introduction to thermodynamic modeling of fluid-rock

What GEM-Selektor does…

Page 36: An introduction to thermodynamic modeling of fluid-rock

Thermodynamic database mode

Options

Thermodynamic properties

Dependent Components (DC)

(ii) Thermodynamic database mode

Page 37: An introduction to thermodynamic modeling of fluid-rock

Options• IComp: add an independent component (e.g. Al, H, O, Si …).

• DComp: add thermodynamic properties of a dependent component (e.g. quartz, kaolinite, Al3+, CO2(g) …)

• ReacDC: add a reaction dependent component (e.g. Al(OH)3(s)+H+= Al3++3OH-; logK = …)

• RTparm: calculate thermodynamic properties vs. P-T.

• Phase: define a phase or a mixture (e.g. mineral, mineral solid solution, gas mixtures).

• Compos: add a composition object to be used as input in the simulations (e.g. granite, fluid, acid …)

Page 38: An introduction to thermodynamic modeling of fluid-rock

MINES thermodynamic database

https://geoinfo.nmt.edu/mines-tdb

Page 39: An introduction to thermodynamic modeling of fluid-rock

MINES thermodynamic database https://geoinfo.nmt.edu/mines-tdb

Page 40: An introduction to thermodynamic modeling of fluid-rock

MINES thermodynamic database

Goals of the project

• Internally consistent dataset covering fluid-rock equilibria at hydrothermal conditions (≤5 kbar and ≤600 °C)

• Test experimental, theoretical, and natural datasets

• Facilitate use of GEMS and other codes to simulate fluid-rock interaction and ore-forming processes

• Community effort

• Open access and rolling-release

• Collaborations with GEMS team: Dan Miron and Dmitrii Kulik (PSI, Switzerland)

• Collaborations with students and diverse research groups and projects

Page 41: An introduction to thermodynamic modeling of fluid-rock

Basic framework• Rock-forming minerals: 122 minerals from H&P98 database + non-silicate

minerals from R&H95

• Aqueous species from SUPCRT92 implemented in GEMS

• Some solid solution models (e.g., ternary feldspar)

Statistical/optimization method (GEMSFITS, internal consistency)

• Major cations: Na-, K-, Al-, Si-bearing species, + Ca-, Mg-, CO2-bearing

species (Miron et al. 2016, 2017)

Experimental data & Natural systems• Zeolites (14 end members) and phyllosilicates (16 end members), solid

solutions from Gysi and Stefánsson (2011)

• Experimental REE phosphate solubility experiments from our lab (Gysi et al. 2015, 2018)

• REE complexes (Migdisov et al. 2009), base and precious metals (Akinfiev and Zotov, 2001, 2010, 2014; Liu and McPhail, 2005; Brugger et al., 2007; Mei et al., 2015; Stefansson and Seward, 2003, etc...)

Current status: MINES 19

Page 42: An introduction to thermodynamic modeling of fluid-rock

The role of hydrocarbons in Mississipi Valley-Type Zn-Pb ore formation

Ore fluid: basinal acid-sulfate brine

high Pb, Zn, Ag, and Cu contents

Mineralization: brine-hydrocarbon

interaction

Simulate controls of pH vs. redox

Hurtig et al. (2018), Ore Geol. Rev. 102

Page 43: An introduction to thermodynamic modeling of fluid-rock

Reactive transport simulations: pH and redox

4000 steps

1000 steps

100 steps

4000 steps

100 steps

1000 steps

Hurtig et al. (2018), Ore Geol. Rev. 102

Page 44: An introduction to thermodynamic modeling of fluid-rock

Reactive transport: ore mineralogy and metal ratios

4000 steps

Sphalerite

Galena

Chalcocite

Ag (s)

Pyrite

100 steps

Sphalerite

GalenaChalcocite

PyriteAg(s)

Calcite

FeAg

PbZn

Cu

Hurtig et al. (2018), Ore Geol. Rev. 102

Page 45: An introduction to thermodynamic modeling of fluid-rock

Oceanic crust alteration: seawater-basalt interaction and ore formation in volcanogenic hosted sulfide

(VMS) deposits

L. Robb book “Intro Ore-forming processes” (2005)

Page 46: An introduction to thermodynamic modeling of fluid-rock

Hydrothermal seawater-basalt interaction and hydrothermal vent fluids

Pierre et al. (2018), Geofluids

Focus on alteration mineralogy and resulting fluid-chemistry in closed system first.

Comparison between model and natural systems

Varying effects of fluid-rock ratios, temperature, and rock composition

Page 47: An introduction to thermodynamic modeling of fluid-rock

Seawater-basalt interaction at 250 °C and 500 bar - 1D reactive transport: e.g. sequential reactors (waves) and flow-through

box-fluxes with propagation of alteration front

Live DEMO GEM2MT

Page 48: An introduction to thermodynamic modeling of fluid-rock

1) “Closed” system models:

Cooling/heating of fluid at constant fluid/rock ratio

Titration model at varying fluid/rock ratios

Fluid mixing models at varying fluid1/fluid2 ratios

General ideas about fluid-rock interaction and numerical modeling

Variables to consider (chemical+physical parameters):

Pressure and temperature

Composition of magmatic-hydrothermal fluid: pH, salinity, redox

Composition of host rock, porosity, permeability

1) “Open” system models:

Multipass and single pass (or flow-through sequential reactor)

Reactive mass transport models (sequential reactor chain, flow-through box-flux sequences, 1-D reactive advection/diffusion)