Sandra Slead Madison Ghiz

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Presentation transcript:

Sandra Slead Madison Ghiz HEAT FLOW DUE TO PLUME Sandra Slead Madison Ghiz

TEMPERATURE & SURFACE HEAT FLOW FOR SOURCE THAT VARIES AS A GAUSSIAN FUNCTION TEMPERATURE x = (x,y) k = (kx,ky) (1) (2) Fourier Transform of (2)

TEMPERATURE & SURFACE HEAT FLOW FOR SOURCE THAT VARIES AS A GAUSSIAN FUNCTION (3) Inverse Fourier Transform of (3) in kz direction only (4) Solve for (4), with poles at -ip, ip (5)

TEMPERATURE & SURFACE HEAT FLOW FOR SOURCE THAT VARIES AS A GAUSSIAN FUNCTION SURFACE HEAT FLOW

Python Code https://colab.research.google.com/drive/1JH3s182ZDOK9InWAEHc1UAIkID5O0dpM Parameters used: plate velocity (v): 2.566e-8 m/second (speed of Pacific plate) thermal diffusivity (K) : 10e-6 m^2/second density (rho): 3300 kg/m^3 (typical value for the mantle) specific heat (Cp): 1172 Watts*seconds (typical value for granite) half-width of source (sig): 100 km Strength of source (A): 0.94 Watts/m^3

Temperature perturbations as a function of depth (source located at 50 km) The isotherms get “swept downstream” as the plate moves across the source. As we go deeper toward the heat source, the temperature perturbations get larger and more concentrated above the source.

Surface Heat Flow View of heat flow on the surface of the lithosphere from the top down: