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3d earthquake particle displacement1/3/2023 ![]() These findings are relevant to earthquake and tsunami hazard assessment because they may help to detect regions likely prone to rupture along the megathrust and to constrain the probability of high slip near the trench. These observations suggest that the friction controlled the rupture, initially confining the deeper rupture and then driving its propagation up to the trench, where it spreads laterally. ![]() ![]() We obtain a close spatial correlation between the main deep slip patch and the local seismic velocity anomalies and large shallow slip extending also to the North coherently with a seismically observed low-frequency radiation. We use a Finite Element Model (FEM), taking into account the 3D geometrical and structural complexities up to the trench zone and perform a joint inversion of tsunami and geodetic data to retrieve the earthquake slip distribution. Motion in any given direction is independent of motion in a perpendicular direction.The 2011 Tohoku earthquake (M w = 9.1) highlighted previously unobserved features for megathrust events, such as the large slip in a relatively limited area and the shallow rupture propagation.\begin(t) along the x, y, and z directions. We form the sum of the displacements and add them as vectors: We take the radius of Earth as 6370 km, so the length of each position vector is 6770 km.įigure 4.6 Trajectory of a particle undergoing random displacements of Brownian motion. The vector between them is the displacement of the satellite. The position vectors are drawn from the center of Earth, which we take to be the origin of the coordinate system, with the y-axis as north and the x-axis as east. Although satellites are moving in three-dimensional space, they follow trajectories of ellipses, which can be graphed in two dimensions. Solution Show Answerįigure shows the surface of Earth and a circle that represents the orbit of the satellite. We then use unit vectors to solve for the displacement. This will aid in our understanding of the displacement. ![]() We make a picture of the problem to visualize the solution graphically. What is the magnitude and direction of the displacement vector from when it is directly over the North Pole to when it is at -45^\circ latitude? Strategy A satellite is in a circular polar orbit around Earth at an altitude of 400 km-meaning, it passes directly overhead at the North and South Poles. ![]()
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