Quantifying tectonic and geomorphic interpretations of thermochronometer data with inverse problem theory

Communications in Computational Physics

Volumn 9, Issue 1, 2011, Pages 129-146

  Bao, G ^a   Dou, Y ^e   Ehlers, T A ^b   Li, P ^c   Wang, Y ^d   Xu, Z ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TÜBINGEN   (Germany)

^c PURDUE UNIVERSITY   (United States)

^d FUDAN UNIVERSITY   (China)

^e HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Heat equations; Inverse problem; Iterative method; Surface processes; Thermochronology; Variational method

Indexed keywords

EID: 78651064545     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.090110.270410a     Document Type: Article

References (23)

1. Alik, I.Z., Gerald, S., Igor, T. and Alexander, K., Inverse problem of thermal convection: numerical approach and application to mantle plume restoration, Physics of the Earth and Planetary Interiors. 145(2004), 99-114.
2. Baldwin, S.L., Monteleone, B.D., Webb, L.E., Fitzgerald, P.G., Grove, M. and Hill, E.J., Pliocene eclogite exhumation at plate tectnoic rates ineastern Papua New Gunea, Nature. 431(2004), 263-267.
3. Braun, J. and Sambridge, M., A new method based on irregular spatial discretization, Basin Research. 9(1997), 27-52.
4. Bukhgeim, A.L., Introduction to the Theory of Inverse Problems, The Netherland: VSP. 2000.
5. Colton, D., The approximation of solutions to the backwards heat equation in a nonhomo-geneous medium, J. Math. Anal. Appl. 72(1979), 418-429.
6. Choulli, M. and Yamamoto, M., Some stability estimates in determing sources and coefficients, J. Inv. Ill-posed Problems. 14(2006), 355-373.
7. Dodson, M.H., Closure temperature in cooling geochronological and petreological systems, Contrib. Minerol. Petrol. 40(1973), 259-274.
8. Ehlers, T.A., Farley, K.A., Apatite(U-Th)/He thermochronometry: methods and applications to problems in tecnoics and surface processes, EPSL-Frontiers. 206(2003), 1-14.
9. Ehlers, T.A., Farley, K.A., Rusmore, M.E. and Woodsworth, G.J., Apatite(U-Th)/He signal of large magnitude and accelerated glacial erosion: Southwest Britishi Columbia, Geology. 34(2006), 765-768.
10. Elden, L., Time discretization in the backward solution of parabolic equations, Math. Comput. 39(1982), 53-84.
11. Gallagher, K., Evolving thermal histories from fission track data, Earth Planet Sci Lett. 136(1995), 421-435.
12. Haenel, R., Rybach, L. and Stegena, L., Handbook of Terrestrial Heat-Flow Density Determination, Kluwer Academic Publishers, 1988.
13. Herman, F., Braun, J., Senden, T.J. and Dunlap, W.J., (U-Th)/He thermochronometry: Mapping 3D geometry using micro-x-ray tomography and solving the associated production-diffusion equation, Chemical Geology. 242(2007), 126-136.
14. Ismail-Zadeh, A.T., Talbot, C.J. and Volozh, Y.A., Dynamic restoration of profiles across diapiric salt structures: numerical approach and its applications, Tectonophysics. 337(2001a), 21-36.
15. Isakov, V, Inverse Problems for Partial Differential Equations, Springer, New York, 1998.
16. Ivanov, V.K., Vasin, V.V. and Tanana, V.P., Theory of Linear Ill-Posed Problems and Its Applications [in Russian], Nauka, Moscow, 1978.
17. Lutz, T.M. and Omar, G., An inverse method of modeling thermal histories from apatite fission track data, Earth Planet. Sci. Lett. 104(1991), 181-195.
18. Persson, P. and Strang, G., A simple mesh generator in Matlab, SIAM Rev. 46(2004), 329-345.
19. Tikhonov, A.N. and Arsenin, V.A., Solution of Ill-posed Problems, Winston, Washington, DC, pp255. 1977.
20. Shuster, D.L. and Farley, K.A., 4He/3He themochronometry: theory, practice, and potential applications, Rev. in Mineralogy and Geochemistry. 58,(2005), 181-203.
21. Whipp, D.M. and Ehlers, T.A., Influence of goundwater flow on thermochronometer derived exhumation rates in the Nepalese Himalaya, Geology. 35(2007), 851-854.
22. Wolf, R.A., Farley, K.A. and Silver, L.T., Assessment of (U-Th)/He thermochronometry: the low tempratrue history of the San Jacinto Mountains, California. Geology. 25(1997), 65-68.
23. Yamamoto, M. and Zou, J., Simultaneous reconstrction of the intial temtperature and heat radiative coefficient, Inverse Problems. 17(2001), 1181-1202.