Water depth is an important parameter in solving various
coastal engineering problems such as erosion, accretion, shoreline stability,
port and harbor construction, evaluation of tidal storage, dredging, maintenance
of navigation routes etc.. The field data collection at a site is an expensive
and time consuming and sometimes extremely difficult in shallow water regions.
For various reasons like wide area coverage, data dependency on depth and
repetivity, etc. satellite data can be used to determine shallow water depths.
For calibration/validation of the bathymetric model, ground truth data at a few
selected locations is essential.
The digital image data acquired by the remote sensing
satellites consist of the reflectance of the surface of the earth and the
atmospheric constituents. Considering the case of water bodies, there will be
significant change in the reflectance due to various parameters including water
depth, turbidity and bed characteristics. Assuming the other two parameters
uniform, it is obvious that the intensity of reflected electromagnetic energy
will vary inversely with the depth of the water column. Preliminary analysis of
digital image data of IRS-1A and IRS-1B show that the band 4 data in the
spectral range of 0.77 to 0.86 microns contain significant variation in
intensity level for the shallow water region.
Algorithms for water depth mapping of coastal areas, using
satellite data were developed by Lyzenga (1978) and Paredes and Spero (1983).
This paper describes a new bathymetric model based on statistical approach,
which transforms the intensity levels of the satellite data to depth values.
Bathymetry of a small region is correlated with intensity levels to achieve the
transformation and the transformed data contains depth information of shallow
water region.
Area of study
The Jamnagar and Sikka region of Gujarat,
in the Gulf of Kuchchh was selected as the study area. The area is about 25 sq.
km. between the latitudes 22
o 20
’ 48
" N and
22
o 28
’ 48
" N
and longitudes 69
o 48
’ 00
" E and 69
o 56
’
24
" E.
Satellite Imagery Digital satellite imagery data of
3
rd Oct., 1994, covering an area of 25 sq. Km. between the latitudes
22
o 20
’ 48
" N and 22
o 28
’
48
" N and longitudes 69
o 48
’ 00
" E
and 69
o 56
’ 24
" E was used for the study and
shown in Plate 1.
The above imagery is geocoded and contains 1024 x 1024 pixels
with 25 m ground resolution. The time of satellite pass is around 1100 hours.
The tidal levels before and after the time of satellite pass were determined
from India Tide Tables 1994. The tidal level at the time of satellite pass was
computed using sinusoidal interpolation method and was +5.12 m with respect to
Chart Datum.
Bathymetric data
Bathymetry of the region was available
covering area between latitudes 22
o 25
’ 50
" N
and 22
o 28
’ 30
" N and longitudes 69
o 51
’ 45
" N and 69
o 53
’
00
" N. The data was digitized over a grid of 100 m x 100 m. It was
then resampled using two dimensional interpolation method to obtain bathymetry
at a grid interval of 25 m x 25 m, which is compatible to the pixel size of
satellite imagery. Then it is transformed to depth values using the
transformation equation,
d
ij = TL - b
ij
where d
ij is depth at location ij, TL is the tidal level
at the time of satellite pass and b
ij is bathymetry at location
ij.
Methodology
A Domain Rippling Scheme (DRS) has been
developed to estimate the depths of the shallow water region. This scheme starts
with a rectangular domain D which specifies a sub area in the region of
interest, where both reflectance and bathymetry are known. It estimates the
depth values of the immediate neighbouring pixels of D using a transformation
equation in terms of its statistical parameters like covariance, variance etc.,
and updates the domain by including the newly estimated pixels. The next layer
is also calculated using the same principle and proceeds towards the boundary
like a ripple as shown in Fig. 1. Necessary care should be taken when the domain
touches the boundary of the region of interest.
Fig. 1. Domain Rippling