Recent content by Remixex

Thank you very much for your advice. The wording of this problem is a little ambiguous, so I will take some liberties and assume that the wave travels through the Earth and reaches 180 degrees takes 35 minutes (similar to a model called PREM) and go on from there. Should be a straight shot to...

In this case they can make it through, if the take-off angle were to be ##0## degrees it would make it right through and arrive at 180 degrees. However we do not have a travel time for that wave in this problem. The only data given is the radius of the Earth and the velocity of the P wave in the...

I posted the question again at https://www.physicsforums.com/threads/estimating-the-velocity-of-seismic-waves-through-an-idealized-earth.1012000/. Hopefully it will show?

Hello, this is a repost from a much less-clear question I posted before (link to question: https://www.physicsforums.com/threads/triangles-inside-a-circle-to-represent-raypaths-inside-an-ideal-earth.1011998/#post-6596165). It's kind of a loaded question, however it can be expressed as triangles...

I will post this in a more precise way on the relevant forum thread Thanks for your help

I will rephrase then, what is the velocity of the P wave through the core? I apologize for being imprecise.

What are the angles of incidence and refraction essentially. What is ##\theta_2## ? In terms of known variables

I have managed to get some of the required distances and angles. I have the distance ##a##, the velocity inside the mantle, the total radius of the Earth ##R_t## as well as mantle and core radii. I have also figured out the angle of incidence, however I cannot get the refracted angle with the...

Perfect, thank you, I had never dealt with exponentials in the numerator doing residue theorem, this was very helpful, especially for inverse Fourier transforms!

$$\int_{-\infty}^{\infty} \frac{e^{-i \alpha x}}{(x-a)^2+b^2}dx=(\pi/b) e^{-i \alpha a}e^{-b |a|}$$ So...this problem is important in wave propagation physics, I'm reading a book about it and it caught me by surprise. The generalized complex integral would be $$\int_{C} \frac{e^{-i \alpha...

Yes you are right, I forgot to type it here. I meant to write $$\frac{1}{2}( \nabla (\textbf{u}) + \nabla (\textbf{u})^T) = \bar{\bar{\epsilon_{ij}}}$$ And the anti symmetric tensor is zero because there are no rotations, my main issue is due to the diagonals, the rr component of Tau has more...

Homework Statement I am following a textbook "Seismic Wave Propagation in Stratified Media" by Kennet, I was greeted by the fact that he decided to use cylindrical coordinates to compute the Stress and Strain tensor, so given these two relations, that I believed to be constitutive given an...

Yes i have very clear what do gradients or divergences do...in a practical way (direction of max change, and flux per EDIT:volume unit :) i believe?) but I'm still struggling setting up the bridge between my vector calculus knowledge, physics knowledge, and this notation... But the course is...

Homework Statement Can I, for all purposes, say that Nabla, on index notation, is $$\partial_i e_i$$ and treat it like a vector when calculating curl, divergence or gradient? For example, saying that $$\nabla \times \vec{V} = \partial_i \hat{e}_i \times V_j \hat{e}_j = \partial_i V_j (\hat{e}_i...

OK yes i get what you meant, i KNOW the wavelengths of visible light are within a range (700 to 400 nm was it?) i just tried to discretize them into the common 7 colors we see, sorry if you thought that was a huge mistake, i thought you meant something else.