Venus
313
Table
8.9
Estimated total
H
2
O
buried inside
the
growing solid Earth, Venus,
and
Mars
Earth
Venus
Mars
Radius
at
which impact
deyhdration
starts,
R
\
(km)
Mass
at
which deyhdration
starts
(10
22
kg)
Amount
of
H
2
O
buried inside
/?,
(10
20
kg)
Radius
at
which
complete
deyhdration
starts,
/?2(km)
Mass
between
RI
and
RI
(10
23
kg)
Amount
of
H
2
O
buried between
R
t
and
R
2
(10
21
kg)
Total
buried
H
2
(10
21
kg)
1150
3.5
1.2
3190
7.1
1.2
1.3
1210
3.9
1.3
3330
7.7
1.3
1.4
1370
4.2
1.4
>3390
5.9
1.3
1.4
Model
by Liu
(1988) based
on the
impact
dehydration model proposed
by
Lange
and
Ahrens (1984),
assuming
that
the
fyO
content
of
Ihe
infalling
materials
is
0.33
wt%.
with
the
water
on
Venus being supplied
by
comets.
This model
leads
to
predicted
D/H
ratio that
is too
low.
A
time-dependent synthesis model
is
shown
in figure
8.16.
The
observational constraints
are
marked
by the
gray bar.
The
nominal model
predicted
an
initial
global
ocean
of 85
m
on
Venus.
The
minimal
model (within
limits
of the
gray
bar)
had a 5.4 m
primordial
ocean.
8.5
Mystery
of the
Missing
Water
Earth
is
unique
in the
solar
system
in
having massive
oceans
of
water.
The
total
amount
of
water
in the
oceans
is 1.5 x
10
21
kg. The
entire near-surface
geochemical
reservoirs
(oceans
+
crust)
contain
about
2 x
10
21
kg of
water.
Water
is
deficient
on
Venus
by a
factor
of
10
4
to
10
5
relative
to
Earth.
Escape
can
account
for a
factor
of
at
least 100.
The
rest
of the
difference must
be
accounted
for by a
speculative theory
of
hydrodynamic
escape
or a
theory
of
planetary evolution.
We
briefly
describe
an
explanation
based
on the
latter idea.
It
is now
generally accepted that
the
origin
of
water
in the
planets
is
dehydration
of
hydrous minerals during formation.
The
bulk
of
infalling
material
has
composition
similar
to
that
of
CI
chondrites that contain
up to 3
wt%
H
2
O.
Once
the
accreting
planetary body
exceeds
a
critical size, impact velocities
become
sufficiently
high that
devolatization
can
start.
The
critical radii,
R\, for
Earth, Venus,
and
Mars
are
about
20%, 20%,
and 40% of
their present radii, respectively (see summary
of
these values
in
table 8.9). Complete devolatization (total
loss
of
F^O
to
space)
can
occur when
the
planets grow
to
another critical radius,
#2-
The
values
for
/?2
given
in
table
8.9
are
roughly
50% of the
present radii
for the
Earth
and
Venus;
Mars
never
reached
/?2.
Estimates
of
water buried inside
the
growing terrestrial planets
are
summarized
in
table
8.9
assuming that
the
infalling
body contains 0.33
wt%
water. Thus,
the
amount
of
sequestered water
is of the
order
of
that
in the
terrestrial
oceans.
This
is
a
conservative estimate because
we
have assumed that
the
impacts
are
between solid
bodies.
When
the
growing planetary body
reaches
a
certain
fraction
of its final
size,
it
may
be
covered
by a
magma ocean.
Once
this magma ocean
is
formed, subsequent