SCALING
ANALYSIS OF ACID ROCK DRAINAGE
Mine Environment Neutral Drainage at CANMET-MMSL |
MEND Report 1.19.2
May 1996
Executive
Summary
The highly
nonlinear nature of the kinetic equations describing the coupled
geochemical and physical processes involved in pyrite oxidation
has posed serious questions about the predictability of the environmental
impact of acid rock drainage. In response to these questions this
report describes the results of a research project which has been
initiated with the purpose to provide a quantitative analysis of
the interrelated elementary chemical and physical processes which
are responsible for pyrite oxidation and acid rock drainage (ARD).
This project is part of an effort to design practical indicators
which would combine quantitative laboratory data, obtained for small
samples of waste rock, with large-scale effects observed in waste
rock piles.
The main objective
of this project was to determine the simple scaling laws which govern
the geochemical and thermodynamic behaviour of pyritic rock in waste
rock piles. The scaling indicator * which combines information about
processes occurring at different scales, is an innovative feature
of this project. Effective kinetic equations for coupled chemical
reactions involved in pyrite oxidation have been derived. The concentration
of dissolved oxygen has been described by a simple formula which
gives reasonable quantitative agreement with experimental data for
the whole range of temperatures and oxygen concentrations in the
gas phase, as required for ARD analysis. The strong decrease of
dissolved oxygen concentration with temperature is included in the
model. This property has not been included in previous models -
the omittance of which could result in an overestimation of the
acid generation potential.
Energy and
oxygen transport are described by using a reaction-transport model.
Strong nonlinear dependence of the effective reaction rates on the
physical, mineralogical and chemical parameters has been described
by means of a scaling parameter * which can be used as a practical
indicator of ARD for waste rock piles. The dimensionless scaling
parameter * combines information about pile porosity, pile size,
effective reactive surface area, temperature dependence of the rate
of pyrite oxidation, oxygen diffusion in the gas phase, heat of
the pyrite oxidation reaction, thermal conductivity of waste rock,
and ambient temperature.
The sensitivity
analysis provides information about the required accuracy of experimental
tests and the relative importance of parameters governing different
physical and geochemical processes responsible for ARD. In particular,
it is shown that the effectiveness of impermeable covers increases
with the pyrite concentration. The scaling analysis indicates that
geochemical and transport processes operate at the meso-scale in
a way fundamentally different from the full-scale. Critical values
of the scaling parameter *, at which bifurcations or thermodynamic
catastrophes leading to accelerated acid generation rates, have
been determined for different scenarios. The critical dependence
of ARD on pile porosity, pile size and reactive surface area is
one of the conclusions of the bifurcation analysis. The results
of the scaling analysis offer the possibility of a cheap and fast
preliminary assessment of the expected environmental impact. All
parameters and variables of the present model can be measured in
independent experiments. The model produces realistic results for
acid generation rates without introducing adjustable fitting parameters
used by all (known to us) other waste rock models. Several results
of this study are significantly different from conclusions and assumptions
of other existing models.
Quantitative
results presented in this study should be confronted with field
data. Additional thermokinetic tests for waste rock samples are
required in order to provide reliable entry data for future predictive
waste rock models. The effects of convective oxygen transport and
water transport on the critical values of the dimensionless scaling
parameter should be analyzed in a future study. Usual acid/base
accounting tests do not provide data necessary for a predictive
model which should generate quantitative information about the effluent.
Additional thermokinetic tests are proposed in order to provide
experimental information necessary for a predictive waste rock model.
We hope that after further modifications and calibration, the scaling
analysis presented here may help to properly design and manage waste
rock piles and dumps.
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