Induced seismicity refers to typically minor earthquakes and tremors that are caused by human activity that alters the stresses and strains on the Earth's crust. Most induced seismicity is of a low magnitude. A few sites regularly have larger quakes, such as The Geysers geothermal plant in California which averaged two M4 events and 15 M3 events every year from 2004 to 2009. The Human-Induced Earthquake Database (HiQuake) documents all reported cases of induced seismicity proposed on scientific grounds and is the most complete compilation of its kind.Results of ongoing multi-year research on induced earthquakes by the United States Geological Survey (USGS) published in 2015 suggested that most of the significant earthquakes in Oklahoma, such as the 1952 magnitude 5.7 El Reno earthquake may have been induced by deep injection of waste water by the oil industry. A huge number of seismic events in fracking states like Oklahoma caused by increasing the volume of injection. "Earthquake rates have recently increased markedly in multiple areas of the Central and Eastern United States (CEUS), especially since 2010, and scientific studies have linked the majority of this increased activity to wastewater injection in deep disposal wells."Induced seismicity can also be caused by the injection of carbon dioxide as the storage step of carbon capture and storage, which aims to sequester carbon dioxide captured from fossil fuel production or other sources in Earth's crust as a means of climate change mitigation. This effect has been observed in Oklahoma and Saskatchewan. Though safe practices and existing technologies can be utilized to reduce the risk of induced seismicity due to injection of carbon dioxide, the risk is still significant if the storage is large in scale. The consequences of the induced seismicity could disrupt preexisting faults in the Earth's crust as well as compromise the seal integrity of the storage locations.The seismic hazard from induced seismicity can be assessed using similar techniques as for natural seismicity, although accounting for non-stationary seismicity. It appears that earthquake shaking from induced earthquakes is similar to that observed in natural tectonic earthquakes, although differences in the depth of the rupture need to be taken into account. This means that ground-motion models derived from recordings of natural earthquakes, which are often more numerous in strong-motion databases than data from induced earthquakes, can be used. Subsequently, a risk assessment can be performed, taking account of the seismic hazard and the vulnerability of the exposed elements at risk (e.g. local population and the building stock). Finally, the risk can, theoretically at least, be mitigated, either through modifications to the hazard or a reduction to the exposure or the vulnerability.
I managed to solve this problem by writing the total E.M.F. as the sum of the one which would have been induced with only the magnetic field varying(and constant ##A##), and that with only the area varying(and constant ##B##).
However, I got to this solution(which doesn't totally convince me)...
Assume a solenoid coil(made up of ##N## windings) placed in the horizontal(##\hat{y}##) direction and in a constant uniform magnetic field.
Would an induced current run through the(closed) coil if it spins around its central horizontal ##\hat{y}## axis? My guess is "no", since such a current is...
Hi everyone,
I'm currently working on the problem listed above.
I'm pretty new to electrodynamics, and I'm learning on my own through a book. I was wondering if someone can please help me through this problem. Here are my thoughts:I think I need to use Faraday's Law of Induction for part (a)...
I'm currently studying Method of Images in Griffiths book and in section 3.2 he introduces the method of images for a point charge at a distance ##d## from a grounded conducting plane at potential ##V = 0##.
In subsection 3.2.3, Griffiths compute the energy of the real system and the image...
I would like to ask a question about the induced voltage of an AC generator. So, according to a graph I found on Google, the maximum induced voltage is reached when the loop is parallel to the loop. (The graph shown below.)
Then I was wondering, what if the loop is initially (when it is at 0...
Induced voltage of DC motor isV=Blv where B= phi/S
where S=2*pi*r*l and magnetic flux is phi=B*2*pi*r*l as shown in the picture.
that leads to the equation V=PZ*phi*N/60amy question is, why do we set S=2*pi*r*l
Shouldn't magnetic flux 0 because the magnetic flux of a closed surface is 0...
An emf is induced in straight current carrying conductor as it moves at at right angles to a uniform and constant magnetic field. My textbook used direction 1 in the image shown to demonstrate this. I asked my teacher if direction two would be possible and he didn't understand me. So I want to...
Due to symmetry of the system,when the frame is rotated to make the electric field point from corner A to corner C,the magnitude of charges induced on these-(AB,BC,CD,DA),(OA,OC),(OB,OD) will be equal(different for each group but same for elements in these groups).
For the sign of induced...
Hi.
I am reading a textbook about simple DC generator. The situation is if we are rotating a single armature coil within a constant field B,
the induced emf will be (if we are to only think about the magnitude), emf= B*l*W*omegaB = magnetic field
l = length of the coil
W = width of the coil...
A satellite in an orbit around Earth can be subjected to a changing magnetic field (due to eccentricity or angle of orbit or both) which can induce currents on its envelope.
Are these currents negligible or are they of any concern to engineers?
Also, as I understand it, the satellites high...
I have drawn a picture of what the induced electric field will look like, and I have determined its magnitude both within and outside of the magnetic field. I was able to get the right answer for part (b) with this information, but I don't understand why the answer for part (c) is 0 J. It...
I am having trouble figuring out if the circular loop has an induced current.
One explanation is ∫ E ds = -d Φ / dt. Since flux = B ⋅ A, a change in the magnetic field would require a change in the magnetic field, a change in the area, or change in direction of either vector. Since none of...
My first attempt at solving this was to calculate the induced charge in A by making ##V=0##:
##\frac{q_{A}}{4πεR_{1}}+\frac{q_{B}}{4πεR_{3}}=0##
##q_{A}=-q_{B}\frac{R_{1}}{R_{3}}##
But that's not the answer. Any help is welcome!
I've come to the result (using cylindrical coordinates)
#\sigma (z) = (-2q) / (pi*sqrt(R_0*(10R_0-6z)^3) )#
and i tried to get #Q# by integrating #2*pi*sqrt(R_0^2-z^2)*\sigma(z)dz# from #-R_0# to #R_0#.
But i can't solve that integral. I tried solving it numerically with arbitrary values and it...
On the left: my copy of the illustration in the problem.
On the right: top view, with the angle.
The problem gives the magnitude of the magnetic field, the radius of the rail, the resistance of the resistor, the initial rotational frequency of the bar.
I am able to obtain the given solutions...
Hello all:
Reading about HB-11 start up and they mentioned laser induced magnetic field :
How is that created and the size of the magnetic field is in kilo Tesla range anyone heard of that
Best
Hagop
Let’s say we have a right handed Cartesian system and magnetic field goes in positive z direction, and let’s assume that the magnitude of magnetic field varies with time.
Now, if I draw a circle with radius ##r## in the ##x-y## plane and let the magnetic field pass through it and vary with...
I have a simple sketch of the diagram, and I know I must use the vertical component of the magnetic field of the Earth when doing this problem
I got an induced emf of 0.73 volts but I do not know if I correctly substituted the right values into faraday's law equation?
Any help will be really...
Why is an emf induced in straight current carrying conductor as it moves at at right angles to a uniform and constant magnetic filed. By Faraday's law, this e.m.f. is equal to dΦ/dt but I do not understand how a wire cutting a uniform magnetic field experiences a change in magnetic flux . Its...
This question is motivated by Problem 7.12 in Griffiths Electrodynamics book. I have not included it in the homework section, because I have already solved it correctly. However, I question whether my solution which agrees with the solution's manual is correct.
Relevant Equations:
$$\Phi =...
Plot for the ring ^
Calculations for the Square ^
Plot for square without cosg on the outside calc ^
Plot for square with cosg on the outside calc ^
As can be seen the formulas for the square conductor do not connect at R, which I'm not sure if they should or if they should not as in this...
i don't understand why in the solution of this exercise, the induced electromotive force / current is counterclockwise.
Shouldn't it be clockwise?
##emf=-\frac {d \Phi_B} {dt} ##
According to the picture the rod is moving upward, the magnetic flux (entering the page) is decreasing due to a...
Homework Statement: A 25.0 cm long metal rod lies in the xy-plane and makes an angle of 36.9 with the positive x-axis and an angle of 53.1 with the positive y-axis. the rod is moving in the +x-direction with a speed of 6.80 m/s. the rod is in a uniform magnetic field B=...
I first calculated induced emf and then calculated torque about O.But what will i do further.I think i need to find current and then fidn emf=IR.
Help please.
In order to calculate for the curl of the induced electric field for a loop moving in a uniform magnetic field, and using the cylindrical coordinate system for a curl, it's my understanding that since the B field is in the 𝑧̂ direction, then so is the partial time derivative of B, and therefore...
I know that ##B = \mu n I## and ##\phi = B \pi R^2##. So with have ##d\phi / dt = \mu n \alpha \pi R^2##. But I don't know what to do with this? is this the answer? I don't think so but I don't know what to do after this.
So, as it says in the title, I am trying to calculate overall voltage induced in a coreless coil in the cases of it being stationary and moving in an alternating magnetic field. To go more into detail, I would like to create a mathematical model of a coil in an alternating magnetic field that...
I am not sure in which direction this induced current would be I am assuming you have to use the dynmo rule or the right hand rule as this is the induced current, and the soft iorn core will cause a force to be produced in the coil which causes the current. If so in which direction would the...
a magnetic field has a magnitude at time t of 4.5x10^-5 T +(2.6x10^-6 T/sec)t. the field points in the positive z-direction.
a rectangular wire loop, which is 0.3 meters by 0.4 meters, lies in the xy-plane.
Note: If the z axis points out of the paper.
a.) What is the induced emf in the loop...
E0=V/d = 100/0.1 =1000v/m
In slab 1, E1=E0/k1=500v/m
In slab 2, E2=E0/k2=250v/m
Applying Gauss' Law to a box surface surrounding the interface with area equal to the plates we have
(-E1+E2)*A = Q/epsilon_naught
So charge density sigma = -250 epsilon_naught
But answer given is...
I) For the first part I used:
##V = - \int E ds = \int_a^c \frac{1}{4\pi\epsilon_0} Q /r^2 dr+ \int_c^{c+d} \frac{1}{k} \frac{1}{4\pi\epsilon_0} Q /r^2 dr + \int_{c+d}^b \frac{1}{4\pi\epsilon_0} Q /r^2 dr ##
And by using ##C = Q/V## We get an answer which is somehow large for writing here...
Hello all,
I understand the distinction between FLHR and FRHR. The LHR is used primarily for motors, while the RHR is used for generators/induced currents.
For a conductor moving between magnetic poles, we can use the RHR to predict the direction of the induced current. According to the diagram...
I will first calculate the magnetic flux of the coil in motion.
$$\frac {d\phi}{dt} = -\frac {dB_{loop}}{dt}A = -\frac{d}{dt}(\frac{\mu_o}{4\pi}\frac {2\pi NR^2I}{(R^2+z^2)^{\frac{3}{2}}})A$$differentiating in terms of ##z##, we get $$\frac {d\phi}{dt} =(\frac{\mu_o}{4\pi}\frac {6\pi^2...
Hi all,
I understand that both winglets and raked wingtips are for the same function (from what I have read) - to reduced the amount of induced drag.
I understand the principles behind winglets, however I am uncertain how raked wingtips actually achieve this? Could anyone please explain the...
Homework Statement
Imagine having a conducting sphere with free charge ##Q## surrounded by a spherical shell filled with a dielectric and then a conducting spherical shell with no free net charge. I want to find out the charge induced on the spherical conducting shell by the sphere or by the...
Two infinite conducting plates 1 and 2 are separated by a distance l. A point charge q is located between the plates at a distance x from plate 1. Find the charges induced on each plate.
Many of the places this problem has been solved by considering an infinitely large plate in place of the...
Homework Statement
Find induced charge density in the classic image problem.
Sorry, I uploaded my work in form of an image instead of typing.
I have tried to use polar coordinates to solve this. But i must have done something wrong. Please help me find the mistake.
Homework Statement
A 40 cm rod is rotated about its centre inside a region of uniform magnetic field of 6.4 T. Given that the speed of rotation is 15 rad/s, find potential difference between the centre and either end of the rod
Homework Equations
emf = - ΔΦ / Δt
ω = 2π / T
The Attempt at a...
Homework Statement
Homework Equations
While solving this problem at r >>a ,the corresponding potential due to the dipole is kpcosθ/r2(potential due a dipole) where k is the electrostatic constt. ...(1)
If σ(θ) is the surface charge density induced due to external electric field.
then the...
Hi all!
I was thinking if it is possible to revert the Faraday effect.
If I have a magnetic field, it interacts with EM wave (light) by changing its polarisation.
Can I got a variable magnetic field interacting with polarised light so that I can get induced current in a coil?
I can understand...
Two identical metalic spherical conductor of radii ##R## are at a distance ##d## apart.One of the conductor has charge ##Q## while the another one is neutral.What will be the induced charge on the other conductor ?
If we put an image charge ##q## inside the neutral one. Then the potential at...
I heard a news clip whilst lying in bed watching TV but there was no mention of an eruption
I rushed into look at my seismograph screen and there was no quake ... so was left shaking
my head wondering what happened ... till now ...
https://www.bbc.co.uk/news/amp/world-asia-46663158
The Anak...