Lithospheric Heat Flow and Dynamics!
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1 Lithospheric Heat Flow and Dynamics!! obvious signals! - heat flow, depth, and geoid height versus age! - does hydrothermal circulation really transport 10 TW?! inferred signals! - lithospheric thickness and strength versus age! - swell-push force and global stress from the geoid! mysterious signals! - details of 3-D plate shrinkage! - are gravity lineaments and volcanic ridges due to lithospheric shrinkage?! - are transform faults thermal contraction cracks?!
2 global heat budget! q s 44 TW conduction q b lithosphere 7.5 TW convection mantle TW convection core 3-13 TW
3 oceanic lithosphere dominates mantle convection!!largest surface area!greatest temperature drop across TBL = largest density contrast!> 1/2 of heat escapes in young oceanic lithosphere q s 44 TW conduction q b lithosphere 7.5 TW convection mantle TW convection core 3-13 TW
4
5 thermal expansion! volumetric expansion!v V = "!T or!# # = $"!T " - the rm al expa ns ion c oeffi cient ~ 3x10-5 C $1 linear expansion!l = " l!t l " l # " 3 thermal stress! develops when!!!("t) # 0
6 obvious signals! - depth versus age! - heat flow versus age! - geoid height versus age!
7
8 !"# L m $ Tdz # m! # w depth vs age! d(t) = d(t)! t 1 / 2 0
9 heat flow vs age! q(t)! 480t "1 / 2 q(t) = k!t!z model = 20 TW data = 10 TW
10 What is the global heat output of the Earth?!!!!!!!How do we interpret this discrepancy?!!a) The other 10 TW is transferred by hydrothermal circulation [Lister, 1972; Williams et al., 1974; Sleep and Wolery, 1978, Anderson and Hobart, 1976; Stein, 1995]!!B) The other 10 TW does not exist and the total heat output from the Earth is < 34 TW [Hofmeister and Criss, 2005].!!!!
11 conservation of energy thermal isostasy! m C P v "T = " q d(t) =!"# m # m! # w Tdz L $ 0 (q b! q u ) = (" m! " w )C p # heat = flow constant X ( v $d) scalar subsidence rate
12 heat flow related to subsidence rate (q b! q u ) = (" m! " w )C p # $A $d $A $A
13 Mueller, personal communication 2006
14 Mueller, personal communication 2006
15 Loyd, Becker, Conrad, Litho-Bertelloni and Corsetti, PNAS, 2007
16 obvious signals - summary! heat flow versus age! surface temperature gradient! noisy, observations << model! depth versus age! integrated temperature! observations = model! geoid height versus age! first moment of temperature! q s (t) = k!t!z d(t) = dominated by mantle geoid, observations ~ model!!" L m $ #Tdz " m! " w 0 N (t) =!2"G# m g L % 0 $Tzdz
17 Inferred signals! - lithospheric strength versus age (see Watts, 2001)! - swell-push force and global stress from the geoid!!
18 Hawaiian-Emperor seamount chain Plate kinematics Kauai Plate Mechanics (flexure) Oahu Molokai Maui Hawaii Sandwell & Smith 1997 (offshore) +Woollard et al 1966 (onshore)
19 Gravity anomalies and crustal structure at Oahu/Molokai Watts & ten Brink (1989)
20 Oceanic Crust Estimating T e T e can be estimated by comparing the amplitude and wavelength of the observed gravity anomaly to the predicted anomaly based on an elastic plate model. The minimum in the RMS difference between observed and calculated gravity anomaly indicate a best fit T e ~ 30 km.
21 Topography seaward of the Kuril Trench Distance to bulge ~ km Te ~ 30 km
22 Relationship between oceanic T e and plate and load age Watts & Zhong (2000)
23 Lithospheric Heat Flow and Dynamics!! obvious signals! - heat flow, depth, and geoid height versus age! - does hydrothermal circulation really transport 10 TW?! inferred signals! - lithospheric thickness and strength versus age! - swell-push force and global stress from the geoid! mysterious signals! - details of 3-D plate shrinkage! - are gravity lineaments and volcanic ridges due to lithospheric shrinkage?! - are transform faults thermal contraction cracks?!
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