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Analysis of the water volume, length, total area and inundated area ofthe Three Gorges Reservoir, China using the SRTM DEM data
Y. WANG*{, M. LIAO{, G. SUN§ and J. GONG{{Center for Geographic Information Science and Department of Geography,
East Carolina University, Greenville, NC 27858, USA
{LIESMARS, Wuhan University, Wuhan, Hubei 430070, China
§Department of Geography, University of Maryland, College Park, MD 20742, USA
(Received 16 March 2005; in final form 18 March 2005 )
Using the Shuttle Radar Topography Mission (SRTM) digital elevation model
(DEM) data covering the region of the Three Gorges Reservoir, Changjiang,
China, we have computed the water volume, length, and total and inundated
areas of the reservoir, with the assumption that the water surface within the
reservoir is flat. When the reservoir’s surface water level is 175 m above the mean
sea level, the computed values may be comparable to the official data published
by the Chinese government.
1. Introduction
Approved by the National People’s Congress of China in 1992, the construction of
the Three Gorges Dam on the Changjiang started in 1993a (Changjiang, in Chinese,
means long river.) When completed in 2009, the reservoir will control floods and
assist river navigation, and generate near 20 000 MW of hydroelectricity. The dam
will be the largest hydroelectric dam in the world, and will definitely have great
social and environmental impacts in the dam region and surrounding areas becauseof the large scope of inundation and resettlement (e.g. Tian and Lin 1989, Dai 1994,
Sullivan 1995, Adams and Ryder 1998, Becker 1999, Murphy 2002, Bergman and
Renwick 2004, http://www.china-embassy.org/eng/zt/sxgc/default.htm, last accessed
in February 2005). In June 2003, the reservoir started to store water. Currently, the
water level is about 140 m above the mean sea level within the reservoir. Even
though there are many reports, books, scientific papers, governmental documents,
and news (newspapers and TV broadcasts) about the giant reservoir, most of the
reports are in Chinese. Also, detailed procedures and datasets used to create thereports may not be available to the general public. Thus, it will be of interest not
only to compute, in particular, the water volume, length, total area, and inundated
area of the reservoir, but also to provide the detailed information of the procedures
and datasets used in the computation.
To carry out the calculation, digital elevation model (DEM) data are needed.
Although the US Geographical Survey (USGS) global DEM, GTOPO30 (http://
edcdaac.usgs.gov/gtopo30/gtopo30.asp, last accessed in February 2005) has been
available since 1996, its coarse spatial resolution of 30 arcsecond or about
900 m6900 m makes the data not applicable because the width of most of the
*Corresponding author. Email: [email protected]
International Journal of Remote Sensing
Vol. 26, No. 18, 20 September 2005, 4001–4012
International Journal of Remote SensingISSN 0143-1161 print/ISSN 1366-5901 online # 2005 Taylor & Francis
http://www.tandf.co.uk/journalsDOI: 10.1080/01431160500176788
(original) river channel in the reservoir is much less than 900 m. The release of
DEMs from the Shuttle Radar Topography Mission (SRTM) at the end of 2003
provides better global elevation data (between 60u S and 60uN). The SRTM
consisted of a specially modified radar system that flew onboard the Space Shuttle
Endeavour during an 11-day mission in February 2000 (http://www2.jpl.nasa.gov/
srtm/index.html, last accessed in January 2005). The spatial resolution is 3 arcsecond
or about 90 m690 m for non-US territory. The elevation value is in the format of
the signed 16-bit integer. The data are in raster format and are organized in
individual tiles that cover 1u61u in latitude and longitude (ftp://edcftp.cr.usgs.gov/
pub/data/srtm/Documentation/, last accessed in December 2004). Thus, in this
study, the SRTM DEMs, coupled with ancillary data are used to delineate the
reservoir and surrounding regions, and to derive the volume, length, total area, and
inundated area at different surface water levels within the reservoir. Also,
descriptions of the study area, SRTM DEM data, voids of the DEMs, void-
removal methods, and assumptions made and procedures used in the calculation are
given.
2. Analytical approach
2.1 Study area and datasets
The Three Gorges is between the eastern edge of the Sichuan basin, surrounded by
high mountains and plateaus, and flatter riverine plain of the Middle and Lower
Changjiang Plain. In the Three Gorges region, the Changjiang is forced to flow
through a narrow, 150 km long, steep-walled valley no greater than 250 m in width,
much like sand in an hourglass. Water from spring snowmelt upstream and wet
summer monsoon rains can fill this narrow passageway with such great fluid flux
that river levels may easily rise 6 m over a 24-h period. After leaving the constricted
confines of the Gorges region, the Changjiang meanders sluggishly across the flat
surface of the Middle and Lower Changjiang Plain (Dai 1994, Bergman and
Renwick 2004). The Three Gorges Dam is located at Sandouping, Hubei Province,
and it is about 38 km upstream from Yichang City, Hubei Province. The reservoir
will span over 600 km upstream from the dam site, mostly within Chongqing
Municipality. The reservoir could reach and pass Chongqing City when it will be
filled at a surface water height of 175 m (above the mean sea level).
Tiles of the SRTM DEM data covering the reservoir and its surrounding areas are
downloaded (ftp://edcftp.cr.usgs.gov/pub/data/srtm/) and then mosaicked. Mosaic
of Landsat 7 data of paths/rows 125/039, 126/039, and 127/039 are used to verify the
location of the dam site (e.g. figure 1) on the DEMs and to assist the delineation of
the Changjiang and its tributaries and of areas on both banks impacted by the
reservoir. Figure 2 shows the delineated study area highlighted by the dotted lines.
Chongqing City and the dam are indicated. Yichang City (not shown in figure 2) is
downstream and further south-east from the dam site.
2.2 Voids of the DEM data
Since the SRTM DEMs are generated based on the radar interferometric technique,
there are missing elevation values or voids in the data. A void is set to have an
elevation value of 232 768 m. Figure 3, as an example, shows the DEM near the dam
site and the voids in black. The voids occur in shadow areas where there are no
backscatters to the radar, phase unwrapping anomalies, or other radar-specific
4002 Y. Wang et al.
causes (e.g. low coherence). For instance, there are some voids on the surface of
Changjiang due to low coherence from the moving water and low (to no)
backscattering from the smooth water surface. The space shuttle flew in a general
north–south direction, and the onboard radar looked perpendicularly to the flight
direction. If mountains are oriented roughly in north–south directions, and the
mountains have steep slopes (especially on the side facing away from the radar),
the gorges behind the mountains will be the shadow areas of the radar signals. The
higher the mountain and/or the steeper the slope, the larger the shadow area; two or
more voids are noticed (e.g. figure 3). Additionally, layover can produce voids. That
is a peculiarity of a side-looking radar and is like the opposite of shadowing. If a
mountain facing the radar illumination has a steeper angle than the radar incidence
angle, then the top of the mountain is imaged before the bottom of the mountain,
Figure 1. Landsat 7 band 8 image of the dam site acquired on 22 December 1999 (a), and 25September 2002 (b). The cofferdams were noticeable in 1999 and they have been removed in2002.
The Three Gorges Reservoir, China 4003
Figure 2. The study area outlined over the SRTM DEM data.
Figure 3. The missing elevation data or voids of the SRTM DEMs are shown in black. Thearrow points to the dam site.
4004 Y. Wang et al.
causing the mountain front to be foreshortened or laid over (e.g. Lillesand et al.
2004). It is impossible to define the elevations if that happens (personal email
communication, Tom Farr at the Jet Propulsion Laboratory, 2004). The layover
occurs in many locations in the study area, especially within the gorges due to the
steep slopes of the mountains.
2.3 The removal of the voids
To remove the voids, two methods are used in order. First, a search and replacementof individual voids within a 363 window is conducted. If and only if the central
pixel is a void, then its elevation value (z) is replaced by
zvoid~IntSum of the elevation values of the surrounding 8 pixels
8z0:5
� �ð1Þ
Int is the integer operation. Thus, the replaced value is still a signed 16-bit integer. It
should be noted that this approach comes from the typical method that replaces
random bad pixels or shot noise (e.g. Jensen 2005). After the operation from the first(upper left) pixel of line 1 to the last (lower right) pixel of the last line, all individual
voids surrounded by cells of valid elevation data are removed and replaced. If there
are two or more voids together locally, occurring within the study area, the second
method will be carried out.
Since the rivers in the gorges are typically tributaries of Changjiang, the surface
water heights of the streams/rivers within the gorges should be very close to the
surface water height of Changjiang. (We have confined the study area, e.g. figure 2,to avoid places such as waterfalls where large change of stream/river surface water
heights could occur.) Thus, the use of the elevations of surface water heights of
Changjiang to replace the voids is chosen. (Other possible ways to find-and-replace
the voids will be discussed later.) To create the elevation profiles, the river gauge
readings of surface water heights along Changjiang within the study area are needed.
Based on the river gauge data available to the general public (Tang 1990, Lin 1992),
the lowest and highest annual surface water heights of the Changjiang at Chongqing
City gauge station are 159.5 and 192.8 m above the mean sea level, respectively.Its annual average is 165.7 m. At Yichang City, where Gezhou Dam (on the
Changjiang) is located, the height is 66.0 m on the upstream side of the Gezhou
Dam. We assume that the height is 66.0 m annually (or a constant) at Yichang. Also,
along the river the distances between the two cities are about 648 km. If the surface
water height of the river is assumed to decrease linearly along the river, then based
on the annual mean (165.7 m) at Chongqing and 66.0 m at Yichang, the profile of
the water surface heights of the Changjiang is obtained (figure 4). The slope of the
line is 15 cm km21. Thus, if there are multiple voids together, called void patches forshort, on the river channel, then they will be replaced with the values according to
the height profiles at that location. To remove and replace the void patches in off-
river areas, an elevation surface based on the profile is needed to correct them. To
create the surface, the same interpolated river elevation at a given location is applied
to the entire column (in north and south direction) of the surface at that location.
The simplification works for four major reasons. First, the river is mainly confined
between mountains, so that the study area delineated on both sides of the banks is
mostly a relatively narrow strip (e.g. figure 2). Second, the river generally flows fromthe west to east. The flow pattern helps exclude the situations that there are multiple
elevation values of the river at each column. The river should have multiple
The Three Gorges Reservoir, China 4005
elevation values if oxbows exist. Third, if there are oxbows, as long as the sizes of the
oxbows are not in the tens of kilometres, the oxbows should have little or no impact
on the interpolated surface. The reason is that the minimum increment of the
elevation of the DEM is 1 m, the slope of the height profiles is 15 cm/km, and no
oxbows with dimension greater than 5 km are observed within the study area (based
on the Landsat 7 and DEM data). Finally, the elevation value of the surface is only
used when there are void patches at that location. Figure 5 in the grey scale shows
the interpolated elevation surface. A black line-segment pointed by a white arrow is
shown as an example of a column of cells that have the same elevation values. Also,
from the west (left) to east (right), the elevation decreases along the river channel. In
summary, to replace all the voids of the DEM data within the study area, we first
remove individual voids using equation (1) to create intermediate DEM data. Then,
we overlay the intermediate DEM layer and interpolated elevation surface layer
(figure 5) to create the final void-free DEMs. That is, if void patches are found on
the DEMs, the elevation values from the elevation surface at the corresponding
locations are output to the final DEMs, and otherwise, the elevation of the
intermediate DEMs is output. (It should be noted that the second void-removal
method alone can be used to replace the individual voids. However, the authors
believe that the combined use of both methods should produce the DEM that is of
minimal alteration on elevation value; the elevation is one of the most critical data
for this study.) Then, the following analyses are carried out.
2.4 The water volume and areal extents of the reservoir
To compute the water volume of the reservoir at a given water surface level, we first
assume that the water surface within the reservoir is flat (e.g. figure 4). Then, the
Figure 4. The profile of surface water heights of Changjiang between the cities ofChongqing (at the 100 km mark) and Yichang (at the 748 km mark). The distancebetween the two cities is 648 km. The shaded area indicates the water volume of the reservoirat 135 m.
4006 Y. Wang et al.
DEM is inundated at that given surface level (within the study area). If the elevation
of a pixel is less than or equal to the level, that cell will be a part of the reservoir.
Otherwise, the cell will not belong to the reservoir. Next, for each cell within the
reservoir, a height difference between the DEM value and water level is calculated.
The difference is further multiplied by the cell size to compute the volume (of water)
in that cell location or water column. By summing all the water columns, we obtain
the total volume that is made of all the water added to the reservoir area after the
construction of the dam. Thus, the volume is not only a function of the water level
within the reservoir, but also the river’s surface water height (or the reference) before
the completion of the dam. In this study, the river’s surface height is defined by the
DEMs after void-removal processes. (It should be noted that the flow of Changjiang
varies annually. If the SRTM flight occurred in another time of the year, the DEMs
would differ. Thus, the results of river surface area, inundated upland area, reservoir
volume, surface area, and total length could be different.) The shaded triangle in
figure 4 illustrates the volume when the water level within the reservoir is 135 m and
the DEM is used. Five reservoir water levels at 135, 145, 155, 165, and 175 m are
employed in the computation. (When completed in 2009, the designed water level
within the reservoir will vary between 135 and 175 m.)
For a given reservoir’s water level, the length of the reservoir is the distance
between the dam and end of the reservoir traced along Changjiang. The length is
obtained using head-on digitizing of the inundated DEMs on the screen. Five
heights as listed above are used.
To determine the total extent of the reservoir, one can extract all cells within the
study area where the DEM elevation is less than or equal to a given reservoir water
surface level. By summing the area of the extracted cells, the total area of the
reservoir is computed. The inundated, flat area is computed by excluding the river’s
surface area from the total extent of the reservoir. Using the slope data derived from
the DEMs, we can compute the flooded slant area as well. (It is feasible that areas of
Figure 5. Interpolated surface of the water level based on the annual mean values atChongqing (upstream) and Yichang (downstream). Each cell in a column (in north–southdirection) has the same elevation value that is equal to the interpolated water surface height ofChangjiang at that location. A black line-segment pointed by a white arrow in the middle ofthe figure shows one column, as an example.
The Three Gorges Reservoir, China 4007
an island or islands within the reservoir are not included in the area calculation as a
part of the reservoir.)
3. Results
When the water level increases from 135 to 175 m, the reservoir’s volumes increase
from 15.7 to 45.9 billion m3, the lengths measured from the dam site and along the
original river channel range from 425.2 to 672.9 km, and the total surface areas are
between 514.0 and 1077.3 km2 (table 1). The original river’s surface areas are also
given in parentheses (table 1). By subtracting the river’s areas from the total areas,
one can derive the inundated flat areas (table 2). Figure 6 shows, near Chongqing
City, (a) the total flat area in white colour, (b) the original river’s area in black
colour, and (c) the inundated flat area in white colour, as an example. The black
spots surrounded by the water area (figure 6(a)) are the islands whose areas are not
included in the total area calculation. Based on the slope of the surface derived from
the DEMs, the slant areas are obtained (table 2). The areas range from 140.8 to
555.5 km2.
4. Discussion
The method to compute the volume of water and areal extents at different water
levels within a reservoir is straightforward once the DEMs are available and the
delineation of the reservoir region is done. However, due to the existence of voids or
no elevation values within the SRTM DEMs, the search and creation of a method
that can find-and-replace the voids with the minimal alteration of the DEMs are not
so simple. A two-step preprocessing method has been discussed and developed. To
have a better understanding of why the method has been implemented, the authors
provide the following discussions.
As presented previously, individual voids and void patches occur on some of the
surface of Changjiang, in the radar shadow areas, etc. Initially, a modified version of
Table 1. The water volume, length, and surface area of the reservoir at five water levels. Theoriginal river’s surface areas are given in parentheses.
Water level (m) at Volume (billion m3) Length (km) Surface area (km2)
135 15.7 425.2 514.0 (378.0)145 21.2 476.9 617.9 (417.2)155 27.9 540.6 748.1 (462.0)165 36.1 612.8 903.0 (506.6)175 45.9 672.9 1077.3 (538.9)
Table 2. The inundated flat and slant areas of the reservoir at five water levels.
Water level (m) at Flat area (km2) Slant area (km2)
135 136.0 140.8145 200.7 207.7155 286.1 295.8165 396.4 409.4175 538.4 555.5
4008 Y. Wang et al.
equation (1) is suggested. The modifications include the increase of window size (e.g.from 363 to 565, 767, etc.), and change the rule that if and only if the central
pixel is a void. The new rule could be if and only if the number of voids is less than
half of the total number of pixels within the moving window then all elevation values
of voids will be replaced by the averaged elevation values of the non-void pixels.
However, two concerns overwhelmingly persuade the authors to give up the
modification idea. First, the selection of window size is determined by the size of the
void patches. The larger the patches in size, the larger the window size. Since each
pixel is about 90 m690 m, a 565 window, for instance, means that an area of450 m6450 m is used in the void-removal process. The dimension (length or width)
of some gorges or valleys may not be as big as 450 m. The other concern is that
Figure 6. Near Chongqing City: (a) the total flat area in white colour, (b) the original river’ssurface area in black colour, and (c) the inundated flat area in white colour. The water level ofthe reservoir is 175 m.
The Three Gorges Reservoir, China 4009
procedure itself is a trial-and-error one. Multiple iterations (starting initially with a
363 window size and then up) are needed and the modification of the original
DEMs can be too much (after several iterations).
Another possible way to find-and-replace the voids may involve the use of the
elevation value of the GTOPO30 DEMs since they have no voids. However, five
concerns make us move away from using it. The first concern is the large pixel size of
,900 m6900 m in the study area of the GTOPO30 DEMs. In some locations, the
Changjiang is even not connected on the GTOPO30 DEMs due to its narrow width
within gorges. The second concern is the great uncertainty to geo-reference the two
sets of DEMs. Even though both DEMs come with geographic coordinates, the
errors of the coordinates are so large that one could not use their coordinates
directly without performing the DEM-to-DEM registration or DEM-to-map
rectification. For example, when two sets of DEMs are overlaid directly, the
Changjiang (shown as a dark and curved feature on both DEMs) is not close to each
other. In some cases, the Changjiang is far apart, and other cases, it crosses each
other. Third, the interpolations on the (x, y, z) values of the GTOPO30 and SRTM
DEMs cannot be voided in geo-referencing. The interpolation can definitely
change the DEMs. The accuracy of the GTOPO30 DEMs is the fourth concern.
Finally, before the find-and-replace operation for the voids, the GTOPO30 DEM
should be further magnified by a factor of 10 to match the resolution of the SRTM
DEMs.
Another line-by-line find-and-replacement procedure is also sought. For each line
of data, starting from the west (or left) and moving to the east (or right), or moving
from the north (or up) to south (or down), all the elevation values of the voids
between two valid elevation pixels are replaced by the averaged elevation value of
the valid pixels. This west-to-east (or north-to-south) line method should be mostly
suitable for void patches occurring in the gorges that are parallel (or perpendicular)
to the shuttle flight direction, and the gorges are in radar shadows (caused by the
mountains). The problem, however, is that the elevation values of the voids (on the
Changjiang surface or within the gorges) can be potentially ‘elevated’ too much
because the valid pixels tend to be located on the banks whose elevations are
typically higher than those on the surface of Changjiang or in the gorges. In a worst
case where a gorge is narrow and mountains on both sides are tall and have steep
slopes, one valid pixel could be located near or on the top of the mountain on one
side, and the other near or on the top of the mountain on the other side. This
method is also discarded.
5. Concluding remarks
Details of the methodologies, assumptions, and datasets have been presented to
illustrate the use of the SRTM DEM data in the computation of the water volume,
length, total area, and inundated flat and slant areas of the Three Gorges Reservoir
of Changjiang, Chongqing Municipality, China. Due to the existence of voids or no
elevation values on the DEMs, a two-step process to find-and-replace the voids has
been carried out. Giving the assumption that the water surface within the reservoir is
flat, the total volumes of water, lengths, total areas, inundated flat and slant areas of
the reservoir are derived at the reservoir’s water levels between 135 and 175 m above
the mean sea level.
The attempt to compare the derived values with the available published data ends
without a fruitful result. There is no doubt that there are many detailed reports
4010 Y. Wang et al.
about the Three Gorges Dam project and facts about the reservoir. The issue is the
unavailability of the reports. Limited factors published at the web site of the Chinese
Embassy in the USA (last accessed in February 2005) are: at the water level of
175 m, the storage is 39.3 billion m3 (http://www.china-embassy.org/eng/zt/sxgc/
t36499.htm), the length of the reservoir is 663 km, the reservoir covers an area of
1045 km2, and the inundated slant area is 632 km2 (http://www.china-embassy.org/
eng/zt/sxgc/t36512.htm). If the official data are compared with those in this study,
there is an overall general agreement (tables 1 and 2). However, because of the lack
of details about the methods, assumptions if any, and datasets used, how the official
data were obtained is unknown. Also, it should be cautioned that the similarity in
(aggregated) values is not a warrant for one to conclude that there is an agreement
on a location-by-location basis. For example, the derived and official total surface
areas are 1077 and 1084 km2, respectively, when the water level is at 175 m. The
difference is only 7 km2 or 0.6% of the total area. However, the (small) areas making
up the total area may come from different locations. Therefore, the official values as
well as the comparison are provided for readers’ information only.
Are there any other means and/or datasets that can be used perhaps to prove or
disprove fully or partially the findings here? First, ground truthing may be
impossible due to the large areal extent and cost. Second, the storage capacity or
inundated areas below the water level of 140 m may not be re-calculated because the
reservoir started to store water in June 2003 and its current water level is ,140 m.
The SRTM DEM obtained in 2000 is the best dataset available before the water
storage occurs. Third, due to the malfunction of the scan line corrector (SLC) of
Landsat 7 that occurred in May 2003 (http://landsat7.usgs.gov/index.php, last
accessed in February 2005), the Landsat 7 data collected after the SLC failure may
not be usable because the study area is generally in the east–west orientation. The
research communities lose one data source that provides the global coverage and is
affordable, which hampers the effort of verification. Finally, the Three Gorges Dam
project is still in progress. However, one should be able to re-compute the length and
total area, and inundated flat and slant areas at water levels between 135 and 175 m
in the future. Once the reservoir is fully in operation, the water level will be
controlled to vary annually between 135 and 175 m to help prevent flooding in the
reservoir region as well as areas downstream to the dam, and to generate electricity.
Two sets of remotely sensed images covering the entire reservoir region should allow
the re-computation as long as one set of data is acquired before June 2003 and the
other set is obtained with a known reservoir water level. Because the JERS-1, ERS-
1, and Landsat 7 images that cover the reservoir region were acquired before June
2003 and are already in-house, and we will also be provided with the future radar
and optical data from the Japanese Advanced Land Observation Satellite (http://
www.jaxa.jp/missions/projects/sat/eos/alos/index_e.html, last accessed in February
2005), we should be able to use these remotely sensed data to verify the findings in
the future.
Acknowledgment
This study is supported by the 973 Program of China through the contract
(No. 2003CB415205) to the Wuhan University, China, and by the Center for
Geographic Information Science of the East Carolina University, North Carolina,
USA.
The Three Gorges Reservoir, China 4011
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