thepinkgeologist
New member
- Joined
- Feb 9, 2012
- Messages
- 2
Flux is cyclic (sin curve) but unknown & causes dV based on volatile% ... can I find
Consider a volcano.
Magma fluxes into the shallow crust at some rate (m/s) that follows a sin curve where lets say Q(max) is every 9 hours ...
Now, that total volume of magma into that system is measured by how much the system inflates (dV)
HOWEVER, dV is complicated by the fact that it is ALSO due to some volatile exsolution of the magma.
We don't know the flux. We do know dV(total) and we don't know the volatile content. Can we solve for volatile content?
I only as because when I consider ...
Flux:
[Q(t1) + p*Q(t2) + Q(t3) + p*Q(t4) + ... n ]/n = Q(average)
Change in volume of the system:
[dV(t1) + p*dV(t2) + p*2 = dV(t3) = p*dV(t4) + p3 + ... n] = dV(total)
Where p = some percent difference
and p2 = the extra dV over and above volume input to the system that is driven by exsolution
... it seems like I could use the difference in the change of volume as a percent of change in flux in order to see the extra volume change due to the volatile content (which I could invert to get wt% volatiles)
Obviously I'm hitting my math wall kind of low, but if someone could help me out with how to make this work, I'd be sooooo grateful.
You can also look at it this way ... the reason for the (sin) cycle is that the magma is degassing volatiles, becoming more viscous and less dense and slowing as a result of the formation of a viscous plug that is forming ... until it is so slow that the pressure behind it builds up and jettisons it forward again.
Consider a volcano.
Magma fluxes into the shallow crust at some rate (m/s) that follows a sin curve where lets say Q(max) is every 9 hours ...
Now, that total volume of magma into that system is measured by how much the system inflates (dV)
HOWEVER, dV is complicated by the fact that it is ALSO due to some volatile exsolution of the magma.
We don't know the flux. We do know dV(total) and we don't know the volatile content. Can we solve for volatile content?
I only as because when I consider ...
Flux:
[Q(t1) + p*Q(t2) + Q(t3) + p*Q(t4) + ... n ]/n = Q(average)
Change in volume of the system:
[dV(t1) + p*dV(t2) + p*2 = dV(t3) = p*dV(t4) + p3 + ... n] = dV(total)
Where p = some percent difference
and p2 = the extra dV over and above volume input to the system that is driven by exsolution
... it seems like I could use the difference in the change of volume as a percent of change in flux in order to see the extra volume change due to the volatile content (which I could invert to get wt% volatiles)
Obviously I'm hitting my math wall kind of low, but if someone could help me out with how to make this work, I'd be sooooo grateful.
You can also look at it this way ... the reason for the (sin) cycle is that the magma is degassing volatiles, becoming more viscous and less dense and slowing as a result of the formation of a viscous plug that is forming ... until it is so slow that the pressure behind it builds up and jettisons it forward again.