Dj. Depaolo et Em. Stolper, MODELS OF HAWAIIAN VOLCANO GROWTH AND PLUME STRUCTURE - IMPLICATIONS OF RESULTS FROM THE HAWAII SCIENTIFIC DRILLING PROJECT, J GEO R-SOL, 101(B5), 1996, pp. 11643-11654
The shapes of typical Hawaiian volcanoes are simply parameterized, and
a relationship is derived for the dependence of lava accumulation rat
es on volcano volume and volumetric growth rate. The dependence of lav
a accumulation rate on time is derived by estimating the eruption rate
of a volcano as it traverses the Hawaiian plume, with the eruption ra
te determined from a specified radial dependence of magma generation i
n the plume and assuming that a volcano captures melt from a circular
area centered on the volcano summit. The timescale of volcano growth i
s t = 2R/v(plate) where R is the radius of the melting zone of the (ci
rcular) plume and v(plate) is the velocity of the Pacific plate. The g
rowth progress of a volcano can be described by a dimensionless time t
' = tv(plate)/2R, where t' = 0 is chosen to be the start of volcano gr
owth and t' = 1 approximates the end of ''shield'' growth. Using a mel
t generation rate for the whole plume of 0.2 km(3)/yr, a plume diamete
r of 50 km, and a plate velocity of 10 cm/yr, we calculate that the li
fetime of a typical volcano is 1000 kyr. For a volcano that traverses
the axis of the plume, the ''standard'' dimensions are a volume of 57,
000 km(3), a summit thickness of 18 km, a summit elevation of 3.6 km,
and a basal radius of 60 km. The volcano first breaches the sea surfac
e at t' approximate to 0.22 when it has attained only 5% of its eventu
al volume; 80% of the volume accumulates between t' = 0.3 and t' = 0.7
. Typical lava accumulation rates start out over 50 m/kyr in the earli
est stages of growth from the seafloor, and level out at similar to 35
m/kyr from t' approximate to 0.05 until t' = 0.4. From t' = 0.4 to t'
= 0.9, the submarine lava accumulation rates decrease almost linearly
from 35 m/kyr to similar to 0; subaerial accumulation rates are about
30% lower, The lava accumulation rate is a good indicator of volcano
age. A volcano that passes over the plume at a distance 0.4R off to th
e side of the plume axis is predicted to have a volume of about 60% of
the standard volcano, a lifetime about 8% shorter, and lava accumulat
ion rates about 15-20% smaller. The depth-age data fur Mauna Kea lavas
cored by the Hawaii Scientific Drilling Project are a good fit to the
model parameters used, given that Mauna Kea appears to have crossed t
he plume about 15-20 km off-axis. The lifetime of Mauna I(ca is estima
ted to be 920 kyr. Mauna Loa is predicted to be at a stage correspondi
ng to t' approximate to 0.8, Kilauea is at t' approximate to 0.6, and
Loihi is at t' approximate to 0.16. The model also allows the subsurfa
ce structure of the volcanoes (the interfaces between lavas from diffe
rent volcanoes) to be modeled. Radial geochemical structure in the plu
me may be blurred in the lavas because the volcanoes capture magma fro
m a sizeable cross-sectional area of the plume; this inference is qual
itatively born out by available isotopic data. The model predicts that
new Hawaiian volcanoes are typically initiated on the seafloor near t
he base of the next older volcano but generally off the older volcano'
s flank.