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Seismology I GEOL0029

创建日期：2024-04-19 15:40:40

所属分类：数学mathematics

标签： GEOL0029

Seismology

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Seismology I GEOL0029: HW1

you wrote for your homework.
Note the plots produced in SAC can be saved to image file (i.e., pdf, png)
using the SAC command (saveimg filename.format).
1. Typical very broadband (VBB) sensor has a response I(ω) = X(ω)−iωY (ω) =
Gω2
ω2−2hiω0ω−ω20
. This response links sensor displacement (X(ω)) to ground veloc-
ity (−iωY (ω)).
(a). Discuss the asymptotic behavior of the amplitude response |I(ω| varies
against angular frequency ω, or |I(ω| ∼ ωα. Discuss α at low frequency
(ω ω0) and high frequency (ω ω0), respectively. [5%].
(b) write down the response I(ω) that links sensor velocity to ground veloc-
ity and repeat (a). [5%].
(c) write down the response I(ω) that links sensor acceleration to ground
velocity and repeat (a). [5%].
2. Typical mechanical sensor has a response I(ω) = X(ω)Y (ω) =
Gω2
ω20−2hiω0ω−ω2
,
where f0 = 1.0 Hz, h=0.707, G=1. This response links sensor displacement
X(ω) to ground displacement Y (ω) (note ω = 2pif).
(a) plot the amplitude (log-log plot) and phase response (semilogx plot)
against frequency f [in Hz]. [10%]
(b) calculate and plot the locations of zeros and poles of the instrument
response I(ω). Change f0 = 0.0083 Hz, and repeat the task. Use the graphic
method in the complex s domain (s = σ + iω) and quantify the difference in
their amplitude response at f = 0.1 Hz in dB [10%]
(c) download seismogram data file (example.conv.SAC) from Moodle page.
Implement the time-domain recursive filter method to remove the instrument
response. Plot the original seismogram and seismogram with instrument re-
sponse I(ω) removed. Briefly discuss their difference (Note you can download
and use the subroutine rsac.m to read the data file). [15%]
(USAGE : data = rsac(’example.conv.SAC’); time = data(:,1); amp = data(:,2);).
3. Following the handout and demonstration in the practical session, with
FetchData and FetchSyn scripts, you will download and analyze 30 mins data/synthetics
1
recorded at the station ANMO (network IU, channel BHZ) from the 2020 North
Chile earthquake (click here: Link to North Chile event info) (Note You will
need the event origin time and eventID to download the data/synthetics).
(a) Compare Data and Synthetics with SAC: First comment on the no. of
zeros and poles in the polezero files (be careful that you may have more than
one sensor in the same station). perform data processing to obtain displace-
ment; bandpass filter the data and synthetics at 0.006-0.2 Hz. Plot the vertical
displacement data and synthetic waveforms; observe and briefly discuss their
difference (focusing on the time window within 3 minutes of the first P wave).
[10%]
(b) Repeat (a), but filter the data at 0.006-0.025 Hz. [10%]
(Hint: to filter the data or synthetics, you can use the sac command with the
syntax: bp co 0.006 0.2 p options. Here the option co defines the frequency
corners of the filter and the option p is used to specify either one-way causal
filter (i.e., p 1) or two-way acasual filter (i.e., p 2).
4 Compare seismic background noise on Earth and Mars
Here you may use FetchData to download 1-hour long recording at the station
ANMO (network IU, channel BHZ) at 14:00:00 - 15:00:00, 2021-02-06. Perform
the data processing to obtain the acceleration, you can use the SAC command
fft to compute acceleration amplitude spectra in the frequency domain. To plot
the amplitude spectra, you can use SAC command psp am. Perform the same
task against Mar seismic station ELYSE (network XB, channel BHV).
(a) Plot and compare the instrument response (amplitude and phase re-
sponse) between the station ANMO (Earth) and ELYSE (Mars). [10%]
(b) Plot and compare the acceleration amplitude spectra of ANMO and EL-
YSE between 0.003 Hz and 5 Hz. [10%]
(c) Following (b), discuss their differences and possible noise sources. Try to
be specific about the noise source against the spectra feature. [10%]

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1300A ENGG 1300 OLET1139 STAT 3503 STAT 206 FEM11149 ELEN 4720 COMP20003 SOLA1070 CS574 C11CS LINB29H3 MAST90083 ECON7200 STAT 610 LINB29 DSM-5 COMP3161 EEEN40010 MATH 4431 K353 STA 3386 IERG4300 COMS W4167 ENG5298 AMME 2302 CS3910 COMPSCI 320 STATS 369 GR5242 COSC 328 CSCI435 MGTS1301 INFS2200 COMP3900 CIS 375 Module AE03 COMP3121 CS260 HAM503 MGMT5050 INT3075 COSC 285 GEOL0029 GEGE2X01 STAT1201 MATH1061 MMF1941H STAT 5060 CS 520 COMP 4320 MSIN0104 000T FINS3648 ECMT2160 ECON4003 Phys 129L CSE 142 CS 3130 MGEB01 EECS 340 Finance (20443/20444) ECMM149 COMP5310 EEEN60180 CSC 111 AT2 CSCI 4430 STAB57 MA/CSC 427 MATH322 D100 CSCI544 CITS3004 CI6227 CSE 565 APCO 1P01 852L1 ELEC S411F COMP3207 STATS330 ECON7530 FIT5149 CSI4104 CMPT 371 COMP201 SEHS4696 FI4003 MATH6182 CG1 WS MATH401 MGT 205 QTM 110 COMP 0137 MACE12201 FIT5210 ECE 544 BISM7206 HUDM 6055 ECON3203 STATS 210 MSCI 570 MATH6173 COMPSCI4039 Accounting COM3503 AOE2024 ECON213 PSYC10004 Control Data 100/200A PHIL2617 PHYS3116 MIE250 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