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The ocean floor is underlain by a layer of basalt that constitutes the crust, or uppermost layer, of the Earth in that region. Below this crust is found denser periodotite rock, which forms the Earth鈥檚 mantle. The boundary between these two layers is called the Mohorovicic discontinuity (鈥淢oho鈥 for short). If an explosive charge is set off at the surface of the basalt, it generates a seismic wave that is reflected back out at the Moho. If the speed of this wave in basalt is 6.50 km/s and the two-way travel time is 1.85 s, what is the thickness of this oceanic crust?

Short Answer

Expert verified
The oceanic crust is approximately 6.01 km thick.

Step by step solution

01

Determine the Total Distance Traveled

The seismic wave travels down to the Moho and then back up to the surface, so the total distance traveled is twice the thickness of the oceanic crust. Use the two-way travel time and the speed of the wave in basalt to calculate the total distance.
02

Calculate the Thickness of the Oceanic Crust

Since the total distance traveled by the wave is the round trip (down and back up), the thickness of the crust is half of the total distance. Divide the total distance by 2 to find the thickness.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Oceanic Crust Thickness
The thickness of the oceanic crust is a critical factor in understanding the geology of the Earth's surface beneath the ocean. Seismic waves are used to measure this thickness. As discovered through geophysical studies, including the exercise at hand, the seismic waves travel at a speed of 6.50 km/s through basalt, which constitutes the oceanic crust.

Following the method described in the exercise, the thickness can be determined by multiplying the speed of the seismic waves by the travel time to the boundary and back again. In this case, the seismic wave's speed is given as 6.50 km/s, and the two-way travel time is 1.85 seconds. The equation to find the total distance traveled is: \[ \text{Total distance} = \text{Speed} \times \text{Two-way travel time} \]
In this particular scenario, the total distance traveled would be:\[ 6.50 \text{ km/s} \times 1.85 \text{ s} = 12.025 \text{ km} \]
However, because this distance represents the wave traveling down to the Moho and then back up, the actual thickness is half of this distance. The thickness of the oceanic crust is therefore:\[ \frac{12.025 \text{ km}}{2} = 6.0125 \text{ km} \]
This measurement is essential in the study of tectonics, as it helps scientists understand plate movements and interactions that can lead to earthquakes and volcanic activity.
Seismic Waves in Geophysics
Seismic waves are the primary tool used in geophysics to study the Earth's interior. These waves are generated by natural events like earthquakes or artificially through explosions, as in the textbook exercise. These waves travel through different layers of the Earth and are either reflected back or refracted, depending on the properties of the layers they encounter.

There are multiple types of seismic waves, each with different characteristics. 'P-waves' and 'S-waves' are two main types; P-waves can travel through solids, liquids, and gases, while S-waves only travel through solids. In the context of the exercise, we are concerned with the seismic waves' speed in basalt, which is a type of rock that makes up the oceanic crust.

By analyzing the travel times and velocities of these waves, geophysicists can create images of subsurface structures. The speed of seismic waves changes with the density and rigidity of the material they move through, which allows scientists to deduce the composition of the Earth at various depths. The variation in velocities is precisely what highlights the boundary known as the Mohorovicic discontinuity or 'Moho'.
Earth's Mantle Structure
The Earth's mantle is a layer of silicate rock between the crust and the outer core. It extends to a depth of about 2,900 kilometers, making it the thickest layer of Earth. The mantle is not static; it behaves as a semi-solid, slowly flowing under long timescales, which influences plate tectonics on the surface.

The mantle is divided into the upper and lower mantle, which are differentiated by their mineral compositions and physical properties. When seismic waves travel through the Earth, their speed changes at different depths, indicating changes in the mantle's structure. The boundary where these speed changes occur is critical for understanding mantle convection and, by extension, the geological activities on Earth's surface.

The Moho, mentioned in the exercise as the boundary between the Earth's crust and the mantle, is the first significant change in seismic wave speed and it helps to define the different layers in Earth's interior. This discontinuity is fundamental to the study of mantle structure since it marks the transition from the rigid crust above to the more ductile upper mantle below.

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