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热带流域河流-含水层相互作用的区域尺度完全耦合模拟
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热带流域河流-含水层相互作用的区域尺度完全耦合模拟
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Regional-scale, fully coupled modelling of
stream–aquifer interaction in a tropical catchment
Adrian D. Werner
a,
*
, Mark R. Gallagher
b
, Scott W. Weeks
a
a
Natural Resource Sciences, Department of Natural Resources and Mines, Queensland Government,
120 Meiers Road, Indooroopilly, Brisbane, Qld 4068, Australia
b
Department of Civil Engineering, University of Queensland, St. Lucia, 4068, Australia
Received 20 September 2005; received in revised form 20 December 2005; accepted 27 December 2005
Summary The planning and management of water resources in the Pioneer Valley, north-east-
ern Australia requires a tool for assessing the impact of groundwater and stream abstractions on
water supply reliabilities and environmental flows in Sandy Creek (the main surface water sys-
tem studied). Consequently, a fully coupled stream–aquifer model has been constructed using
the code MODHMS, calibrated to near-stream observations of watertable behaviour and multi-
ple components of gauged stream flow. This model has been tested using other methods of esti-
mation, including stream depletion analysis and radon isotope tracer sampling. The coarseness
of spatial discretisation, which is required for practical reasons of computational efficiency,
limits the model’s capacity to simulate small-scale processes (e.g., near-stream groundwater
pumping, bank storage effects), and alternative approaches are required to complement the
model’s range of applicability.
Model predictions of groundwater influx to Sandy Creek are compared with baseflow esti-
mates from three different hydrograph separation techniques, which were found to be unable
to reflect the dynamics of Sandy Creek stream–aquifer interactions. The model was also used
to infer changes in the water balance of the system caused by historical land use change. This
led to constraints on the recharge distribution which can be implemented to improve model cal-
ibration performance.
c
2006 Elsevier B.V. All rights reserved.
KEYWORDS
Groundwater;
Surface water;
Numerical models;
Basin management;
Coastal aquifers
Introduction
The dynamics of flow between unconfined aquifer systems
and interconnected streams and rivers are an important
consideration in water resource planning and management.
Management models of groundwater systems are usually
0022-1694/$ - see front matter
c
2006 Elsevier B.V. All rights reserved.
doi:10.1016/j.jhydrol.2005.12.034
*
Corresponding author. Tel.: +61 7 3896 9144; fax: +61 7 3896
9149.
E-mail address: adrian.werner@nrm.qld.gov.au (A.D. Werner).
Journal of Hydrology (2006) 328, 497– 510
available at www.sciencedirect.com
journal homepage: www.elsevier.com/locate/jhydrol
![](https://csdnimg.cn/release/download_crawler_static/89345914/bg2.jpg)
created separately from river management models; or
highly simplified representations of either the surface water
or groundwater domains are adopted. These single-domain
models are often unsuitable for basin-wide applications to
low-flow hydrology issues (Halford and Mayer, 2000) such
as the impact of groundwater use on environmental stream
flows, or conjunctive stream–aquifer water management.
These types of problems are better explored using coupled
stream–aquifer interaction models that are capable of
accounting for the interdependence of groundwater and
surface water functioning.
Coupling of groundwater and surface water models for
regional-scale application is not straightforward and only a
few well-tested examples are available (e.g., Said et al.,
2005). Model developers need to overcome practical issues
of differences in scale, temporal and spatial discretisation,
and flow and head variability between surface and subsur-
face flow systems and their respective mathematical repre-
sentations. Codes also need to be adequately accurate,
efficient and robust to effectively manage the large compu-
tational burden associated with the dual domain simulation
(e.g., LaBolle et al., 2003). Most examples of coupled
stream–aquifer models applicable to regional-scale assess-
ment adopt the popular MODFLOW model (McDonald and
Harbaugh, 1988) to represent groundwater flow (Middlemis,
2004). The more commonly applied codes include the
Streamflow Routing (STR) Package (Prudic, 1989), MOD-
BRANCH (Swain and Wexler, 1996), MODHMS (Panday and
Huyakorn, 2004; Hydrogeologic Inc., 2003) and DAFLOW
(Jobson and Harbaugh, 1999).
In this study, a MODHMS model of Sandy Creek and the
Pioneer Valley aquifers has been developed. The Pioneer
Valley is the subject of an intensive water resources plan-
ning and management investigation, which aims to establish
sustainable water resource operation practices that main-
tain riparian and hypothetic biodiversity and ensure that
water supply reliabilities are protected (NR&M, 2003).
Assessing and predicting the low flow hydrology of the
unregulated Sandy Creek system is an essential component
of the Pioneer Valley investigation. Sandy Creek riparian
ecosystems are considered to be ecologically significant
and groundwater-dependent (Cook et al., 2004; Brodie,
2004). Potentially, groundwater and surface water users in
the Sandy Creek area can impact on water supply reliabili-
ties in both systems. Sandy Creek is chosen to be the main
focus of this study, rather than other waterways in the Pio-
neer Valley (e.g., the Pioneer River, Bakers Creek) that are
generally regulated through supplemented supply and/or in-
stream weirs.
The primary objectives of the study are: (1) to outline an
efficient and effective methodology for regional-scale
stream–aquifer interaction model development and calibra-
tion; (2) to evaluate the limitations of the MODHMS model by
comparison with other approaches, and describe practical
alternatives that can be used to overcome these limitations;
and (3) to demonstrate the usefulness of the approach
through applications of the model.
Study area
The Pioneer Valley is situated in north-eastern Australia
(Fig. 1) where the tropical climate is characterised by high
average rainfall (1551 mm/year) and a distinct summer
wet season (December–March) (Werner, 2004). Sugarcane
cultivation is the predominant land-use and irrigators use
both groundwater and surface water in accordance with
seasonal rainfall patterns. The vast majority of high-yielding
bores are situated in alluvial and fluvial sediments deposited
by the Pioneer River, Sandy Creek and Bakers Creek and
their predecessors, although fractured rock aquifers are
also accessed (Murphy et al., 2005).
Sandy Creek partially penetrates an extensive alluvial
aquifer system (Fig. 1), which exhibits unconfined behav-
iour at the regional-scale (Murphy et al., 2005). The cur-
rent alignment of Sandy Creek is thought to coincide
with an ancestral Pioneer River palaeochannel (Bedford,
1978). The Queensland Government’s Department of Natu-
ral Resources and Mines (NR&M) maintains a stream flow
gauging station in the lower reach of Sandy Creek and a
broad coverage of observation bores to monitor the sys-
tem. The locations of the closest 12 observation bores to
Figure 1 Locality map of the Pioneer Valley.
498 A.D. Werner et al.
![](https://csdnimg.cn/release/download_crawler_static/89345914/bg3.jpg)
Sandy Creek and the stream gauging station are shown in
Fig. 1.
The Sandy Creek catchment area is 420 km
2
in total (Bro-
die, 2004) and 326 km
2
upstream of the NR&M gauge
126001A (NR&M, 2005a). Sandy Creek is perennial though
some sections of the stream cease to flow and reduce to a
series of disconnected waterholes during dry seasons
(NR&M, 2003). Stream flows are highly episodic consistent
with the tropical climate, the frequency of tropical cyclones
and the catchment size. High-flow events in Sandy Creek are
predominantly contained within the flow channel, and the
system does not contribute significantly to flood plain re-
charge through riverbank overtopping.
Riparian habitats along the Sandy Creek estuary are of
ecological significance (Cook et al., 2004; Brodie, 2004).
Preserving the biodiversity of these habitats which are sub-
ject to considerable anthropogenic and climatic stresses is a
priority for natural resource managers (NR&M, 2003).
Numerical model
Historically, analytical solutions for describing surface
water–groundwater interaction such as those of Hall and
Moench (1972), Glover (1974) and Gill (1985) neglected
streambed leakage (Perkins and Koussis, 1996). Although
more recently Hunt (1990) devised an analytical approach
that incorporated streambed leakage in the analysis of bank
storage, such analytical solutions are restrictive when ap-
plied in a regional context, notwithstanding their advantage
of parsimony. Moreover, Lin and Medina (2003) noted that
previous studies of conjunctive stream–aquifer modelling
focused on short-term, localised interactions.
The challenge of applying physically based modelling ap-
proaches on a regional-scale in preference to simplified ana-
lytical approaches is that numerical instabilities may arise
from the incongruity between the temporal time-scales of
stream and aquifer flow dynamics. Therefore, a robust mod-
elling framework is required to incorporate system-wide
complexity and accurately solve problems that can become
numerically intractable.
The main predictive tool developed during this study is a
regional-scale, fully coupled, stream–aquifer interaction
flow model of Sandy Creek and the Pioneer Valley aquifers.
The model is based on the MODHMS code, which was origi-
nally developed with the intention to provide a fully inte-
grated simulator of groundwater flow (and transport),
stream flow and overland flow with dynamic coupling be-
tween each of the hydrological components. MODHMS is a
successor to MODFLOW-SURFACT (Hydrogeologic Inc.,
1997) and is similarly based on MODFLOW (specifically MOD-
FLOW-88) (McDonald and Harbaugh, 1988), a finite-differ-
ence groundwater flow code. The MODHMS program
structure is therefore modular, with a number of packages
used to describe the various facets of each MODHMS model
(Hydrogeologic Inc., 2003).
The stream flow aspect of MODHMS is represented using a
channel flow package (CHF1), which solves the diffusion
wave approximation of the one-dimensional Saint Venant
equation (refer Hydrogeologic Inc., 2003). The CHF1 pack-
age is implicitly coupled to the Richards equation for 3-D
variably saturated flow via stream leakage, with both the
groundwater and surface water conditions computed simul-
taneously. Dual stress period capacity allows boundary con-
ditions and system stresses to be assigned in the stream
model at different time intervals from those of the ground-
water flow model.
Hydrogeologic Inc. (2003) defines the stream–groundwa-
ter interaction term q
gc
as:
q
gc
¼ K
c
ðh
g
hÞ¼Q
gc
=LP
ups
ð1Þ
By definition, a positive q
gc
denotes a unit flux from the
aquifer to the stream [L
3
/T], Q
gc
is the total flux [L
3
/T]
across the stream to/from the aquifer, P
ups
is the upstream
wetted perimeter [L], L is the stream segment length [L], h
is the head in the stream [L], h
g
is the local head of the aqui-
fer [L] which has an additional linkage to the stream via K
c
,
the leakance across the channel bed to the subsurface sys-
tem [T
1
], given as
K
c
¼
K
s
b
ð2Þ
where K
s
and b are the effective conductivity of sediments
[L/T] and thickness of the stream sediments [L],
respectively.
The 1-D channel flow equations are incorporated with
the system of matrix equations describing groundwater
flow, and the fully integrated flow system is solved at each
time step with the use of adaptive time stepping. This offers
improved numerical robustness over flux-linkage techniques
employed by MODBRANCH, and provides a more plausible
physical basis than the STR package that assumes steady
flow conditions, rectangular prism channel geometry and
neglects the travel time of the flood wave.
The dynamic coupling of surface and subsurface calcula-
tions also improves upon simplified time-lagged approaches
employed in similar studies (e.g., Nobi and Das Gupta,
1997). Also, the modelling approach captures more of the
system complexity and heterogeneity than modelling inves-
tigations of similar scale such as Stewart et al. (1999) that
did not explicitly consider linkages between surface and
subsurface components.
Other features of MODHMS are fully described in Hydrog-
eologic Inc. (2003) and Panday and Huyakorn (2004), includ-
ing the derivation of equations, the discretisation of the
model domain/s, the definition of boundary conditions and
numerical solution techniques.
Modelling methodology
The methodology for constructing and calibrating the Pio-
neer Valley MODHMS model is summarised in Fig. 2. The
groundwater flow component (i.e., aquifer hydraulic prop-
erties, boundary conditions, aquifer stresses, aquifer geom-
etry) is based on a previously developed MODFLOW model of
the Pioneer Valley groundwater system (Kuhanesan et al.,
2005). Table 1 lists the main features of the Kuhanesan
et al. (2005) model and summarises the methods of estimat-
ing the associated MODFLOW parameters. A schematic dia-
gram of the model is provided in Fig. 3. The relatively
short run-times of the Kuhanesan et al. (2005) model al-
lowed an extensive calibration effort to be undertaken that
circumvented a prohibitively large numerical effort other-
wise required by the MODHMS model.
Regional-scale, fully coupled modelling of stream–aquifer interaction in a tropical catchment 499
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