Previously, HANAOKA and MURAKAMI reported a relation expressed by the equation
IT=
I0exp(-
aTb)
where
T is the visible transparency depth of Secchi disc,
I0 and
IT the underwater daylight illumination in the sea at the surface and the depth
T respectively, and “
a” “
b” are constants.
The present authors confirmed experimentally that the relation can exist in such various suspensions, in which the particles have comparabfe sizes to the wave-length of incident light (Table 2) and not the RAYLEIGH-scattering but probably the M
IE-scattering may take place.
The experiments showed that the extinction coefficient (
μ) in these suspensions was related to the visible transparency
T by the equation
μ=
aT-b' (Fig. 1)
Applying this relation to the LAMBERT's equation
Id=
I0exp(-
μd). we obtain
IT=
I0exp(-
aT1-b')=
I0exp(-
aTb)
which snows a good fit with the observations (Table 1, Fig. 2)
At the same time there was another observed relation expresed by the equation
T=α
C-β where
C is the concentration of suspended material (Fig. 3).
Therefore, from these relations we obtain
μ=
KCB (Fig. 4)
In the case of the RAYLEIGH-scattering, there applies a relation
μ=
KC, called BEER's Law, but in our case
B is not equal to unity.
In natural sea water, the value of “
b” can be estimated to be a constant, 0.7, in neritic as well as inshore sea waters, while “
a”, in general, varies depending on water measles, higher in the more neritic waters and lower in the more oceanic waters.
In the sea was also found a relation
μ=
KS0.2 where
S is dried weight in mg of the residue per 1 liter of the sea weter filtered by molecular filter (APD 250 m
μ), when the filtrate shows almost the same absorption coefficient as that of distilated water, and
k is represented by the equation
k=0.86a-0.154 (Fig. 5)
It is shown here that when “
b” is constant, the higher the value of “
a”, the smaller the size of suspended particles.
On the other hand, we obtain
S=γ
τ (Fig. 6)
where τ is the absorbtion coefficient to the light. So “
a” is expressed in terms of
μ and τ as follows
a=0.92
μτ-0.2+0.179 (Fig. 7)
Thus we can compute the value of “
a” by knowing
μ and
S or τ, instead of
T, even in the case where
T cannot be observed or the value “
a” is required, by layer.
Both “
a” and “
b” do not depend on the concentration of suspended matter, but “
a” depends only on the particle size when “
b” stays constant. So we would like to call “
a” “suspensionfactor”.
It can show not only the micro-construction of water masses in the sea, but also seems to correlate with the distribution and growth of various filter-feeding organisms. For instance, oyster,
Ostrea gigas appears to show its optimal growth in such regions where “
a” is between 0.4-0.5 (Fig. 8), while in its seed-bed, it has some higher value. We obtain also the value of 0.4 in the pearl oyster bed, and 0.8-0.9 on Mogai
Anadara suberenata bed.
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