Zw. Qin, DYNAMICS OF MELT GENERATION BENEATH MIDOCEAN RIDGE AXES - THEORETICAL-ANALYSIS BASED ON U-238 TH-230-RA-226 AND U-235 PA-231 DISEQUILIBRIA, Geochimica et cosmochimica acta, 57(7), 1993, pp. 1629-1634
Although slow melting favors the generation of basaltic melt from a ma
ntle matrix with large radioactive disequilibrium between two actinide
nuclides (MCKENZIE, 1985a), it results in long residence time in a ma
gma chamber, during which the disequilibrium may be removed. An equili
brium melting model modified after MCKENZIE (1985a) is presented here
which suggests that, for a given actinide parent-daughter pair, there
exists a specific melting rate at which disequilibrium between these t
wo nuclides reaches its maximum. This melting rate depends on the deca
y constant of the daughter nuclide concerned and the magma chamber vol
ume scaled to that of its source. For a given scaled chamber size, lar
ge radioactive disequilibrium between two actinide nuclides in basalts
will be observed if the melting rate is such that the residence time
of the magma in the chamber is comparable to the mean life of the daug
hter nuclide. With a chamber size 1% in volume of the melting source,
the melting rates at which maximum disequilibrium in basalts is obtain
ed are 10(-7), 2 x 10(-7), and 3 x 10(-6) y-1, respectively, for U-238
-Th-230, U-235-Pa-231, and Th-230-Ra-226. This implies that, while lar
ge disequilibrium between U-238-Th-230 and between U-235-Pa-231 may oc
cur together, large Th-230-Ra-226 disequilibrium will not coexist with
large U-238-Th-230 disequilibrium, consistent with some observations.
The active mantle melting zone which supplies melt to a ridge axis is
inferred to be only about 10 km thick and 50 km wide. The fraction of
melt present in such a mantle source at any time is about 0.01 and 0.
04, respectively, if melting rate is 10(-7) and 10(-6) y-1. The corres
ponding residence time of the residual melt in the matrix is 10(5) and
4 x 10(4) y.