constant velocity model
constant velocity model
What is a constant velocity model geology? examples?
Re: constant velocity model
It probably means the wave velocity in the model doesn't change, such as a homogeneous media. If you provide more context, probably we can understand better about the question.
-
- Member
- Posts: 2
- Joined: Mon Dec 28, 2020 5:07 am
Re: constant velocity model
In physics a constant velocity model is used to determine the trajectory and speed of single point particle, or the center of mass of a rigid or rotating body, that is subject to zero net applied force or torque. The '’’net force’’’ has to be zero. This does not mean the absence of any force, only that the vector sum of all forces acting on the particle or mass must be zero, that causes motion with a constant acceleration along one coordinate.
For motion with constant velocity, the acceleration is a = 0. (dv/dt = 0). In integral form it is: v(t) = v(i) = constant. The integral is trivial, then the position against time can be considered, the velocity becomes the integral form of this model: x(t) = x(i) + v(i)t. In this formula the initial time - the time when the position and velocity equal x(i) and v(i) are regarded as t = 0.
For a moving particle, at constant velocity, is moving at time t(i) and is moving towards another object at t=0 then to have constant velocity with initial conditions at t(i) then: x(t) = x(i) + v(i) {t-t(i)}
For motion with constant velocity, the acceleration is a = 0. (dv/dt = 0). In integral form it is: v(t) = v(i) = constant. The integral is trivial, then the position against time can be considered, the velocity becomes the integral form of this model: x(t) = x(i) + v(i)t. In this formula the initial time - the time when the position and velocity equal x(i) and v(i) are regarded as t = 0.
For a moving particle, at constant velocity, is moving at time t(i) and is moving towards another object at t=0 then to have constant velocity with initial conditions at t(i) then: x(t) = x(i) + v(i) {t-t(i)}
Re: constant velocity model
Sure, but in seismic data processing it usually means that we are assuming that the p-wave (and possibly s-wave) seismic velocity of the Earth is constant. That's not a great approximation, however it can be useful under some circumstances, especially when developing or testing algorithms.
-
- Similar Topics
- Replies
- Views
- Last post
-
- 2 Replies
- 3204 Views
-
Last post by Nightwolf
-
- 6 Replies
- 2228 Views
-
Last post by jws02
-
- 2 Replies
- 1383 Views
-
Last post by 99thpercentile
-
- 1 Replies
- 1113 Views
-
Last post by GuyM
-
- 9 Replies
- 2720 Views
-
Last post by GuyM