『Abstract
This paper explores how dissolution and precipitation reactions
are coupled in batch reactor experimental systems at elevated
temperatures. This is the fourth paper in our series of “Coupled
Alkali Feldspar Dissolution and Secondary Mineral Precipitation
in Batch Systems”. In our third paper, e demonstrated via speciation-solubility
modeling that partial equilibrium between secondary minerals and
aqueous solutions was not attained in feldspar hydrolysis batch
reactors at 80-300℃ and that a strong coupling between dissolution
and precipitation reactions follows as a consequence of the slower
precipitation of secondary minerals (Zoo and Lo, 2009). Here,
we develop this concept further by using numerical reaction path
models to elucidate how the dissolution and precipitation reactions
are coupled. Modeling results show that a quasi-steady state was
reached. At the quasi-steady state, dissolution reactions proceeded
at rates that are orders of magnitude slower than the rates measured
at far from equilibrium. The quasi-steady state is determined
by the relative rate constants, and strongly influenced by the
function of Gibbs free energy of reaction (ΔGo) in the rate laws.
To explore the potential effects of fluid flow rates on the coupling
of reactions, we extrapolate a batch system (Manor et al., 2007)
to open systems and simulated one-dimensional reactive mass transport
for oligoclase dissolution and kaolinite precipitation in homogeneous
porous media. Different steady states were achieved at different
locations along the one-dimensional domain. The time-space distribution
and saturation indices (SI) at the steady states were a function
of flow rates for a given kinetic model. Regardless of the differences
in SI, the ratio between oligoclase dissolution rates and kaolinite
precipitation rates remained 1.626, as in the batch system case
(Ganor et al., 2007). Therefore, our simulation results demonstrated
coupling among dissolution, precipitation, and flow rates.
Results reported in this communication lend support to our hypothesis
that slow secondary mineral precipitation explains part of the
well-known apparent discrepancy between lab measured and field
estimated feldspar dissolution rates (Zhu et al., 2004). Here
we show how the slow secondary mineral precipitation provides
a regulator to explain why the systems are held close to equilibrium
and show how the most often-quoted “near equilibrium” explanation
for an apparent field-lab discrepancy can work quantitatively.
The substantiated hypothesis now offers the promise of reconciling
part of the apparent field-lab discrepancy.』
1. Introduction
2. Conceptual models and assumptions
2.1. Standard state thermodynamic data
2.2. Rate laws
2.3. Reactive surface area
3. Modeling results and analyses
3.1. Albite dissolution-sanidine preparation experiments
3.1.1. Congruent dissolution stage (0-7 h)
3.1.2. Steady state dissolution of albite and precipitation
of sanidine (〜672-1848 h)
3.1.3. Albite incongruent dissolution with initiation of sanidine
precipitation (7-504 h)
3.1.4. Sanidine precipitation (7-672b h)
3.1.5. Simulation of the entire experiment period (0-1848 h)
and beyond
3.2. Feldspar hydrolysis batch experiments at 200℃ and 300 bars
4. Discussions
4.1. The influence of f(ΔGr) and Sj on the coupling of reactions
4.2. Influences from fluid flow rates
5. Conclusions and remarks
Acknowledgments
References