# Energy partitioning (Attenuation)

• stubbe11
In summary, the seismic wave is reflected at the fifth horizontal interface with a reflection coefficient of 0.15. The total attenuation in amplitude caused by energy partitioning at all encountered interfaces, when the wave returns to the surface, is a point of debate. Some argue that the equation should be used 4 times, resulting in 9% attenuation, while others argue for 5 times, resulting in 11.25% attenuation. However, it seems that the correct answer is 4 times, resulting in a 9% attenuation.
stubbe11

## Homework Statement

A seismic wave travel from surface, is reflected at the fifth of a series of horizontal interfaces. Each has a reflection coefficient "R" of 0.15. What is the total attenuation in amplitude caused by energy partitioning at all encountered interfaces, when the wave returns to the surface?

## Homework Equations

total loss = (1-R)(1+R) = (1-R^2) [for one layer]

## The Attempt at a Solution

We have a discussion here, where some argue that the equation should be used 4 times, hence the answer is 9% of the amplitude has been attenuated. And some who argue that it should be used 5 times (11.25%). Any inputs as what could be the correct one?

stubbe11 said:
the equation should be used 4 times, hence the answer is 9% of the amplitude has been attenuated. And some who argue that it should be used 5 times
Up to what point in the whole process? It has to be transmitted through 4, reflected at 1, then transmitted back through the first 4, no? Or have I misunderstood the question?

haruspex said:
Up to what point in the whole process? It has to be transmitted through 4, reflected at 1, then transmitted back through the first 4, no? Or have I misunderstood the question?
Thanks for your interest and time.

Well, it seems like you understood it like I did. Transmitted through 4 interfaces and reflected on the 5th, then transmitted back up to the surface through the same 4 interfaces. So would you agree on 4 times then?

stubbe11 said:
Thanks for your interest and time.

Well, it seems like you understood it like I did. Transmitted through 4 interfaces and reflected on the 5th, then transmitted back up to the surface through the same 4 interfaces. So would you agree on 4 times then?
Yes.

haruspex said:
Yes.
Big thanks!

## 1. What is energy partitioning?

Energy partitioning, also known as attenuation, is the process by which energy from a source is divided and distributed among different pathways, such as absorption, reflection, and transmission.

## 2. Why is energy partitioning important?

Energy partitioning is important because it helps us understand how energy is transferred and distributed in different materials, such as air, water, and solids. This knowledge is crucial for various fields, including engineering, environmental science, and medicine.

## 3. How does energy partitioning affect sound and light?

In sound, energy partitioning affects the loudness and clarity of the sound as it travels through different materials. In light, energy partitioning determines the amount of light that is absorbed, reflected, or transmitted by different objects, which affects their appearance and color.

## 4. What factors influence energy partitioning?

The factors that influence energy partitioning include the properties of the source of energy, the properties of the material it is traveling through, and the properties of the receiving object. These can include the frequency of the energy, the density and composition of the material, and the angle of incidence.

## 5. How is energy partitioning measured and calculated?

Energy partitioning can be measured and calculated using various techniques, depending on the type of energy and the material it is traveling through. For example, in sound, we can use a sound level meter to measure the intensity of the sound at different distances from the source. In light, we can use a spectrophotometer to measure the amount of light absorbed or transmitted by a material at different wavelengths.

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