Seismometer. Stefanie Donner

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Transcription:

Seismometer Stefanie Donner

Some history instrument for measuring the seasonal winds and the movements of the Earth Zhang Heng, China 132 AD #2

Some history 1755 the Great Lisbon earthquake Subsequent fires and a tsunami destroyed the city Probably Mw 8.5 to 9.0 Between 10.000 and 100.000 death First systematic analysis of earthquake damages with questionaires #3

Some history First modern seismograph (1880-1885) Horizontal pendulum Pioniers: John Milne, Sir James Alfred Ewing and Thomas Gray John Milne with Boris Galitzin and his wife, 1914 https://www.eeducation.psu.edu/earth520/node/1784 #4

Some history Emil Wiechert (1861-1928) Converted or astatic pendulum 1st seismograph with viscous damping useful recordings for the entire duration of ground motion Founder of the 1st global seismic network One of the co-founder of the Association Internationale de Seismologie; today: International Association of Seismology and Physics of the Earth s Interior (IASPEI) mass 1.000g period 10s Moxa Quelle: http://musee-sismologie.unistra.fr/english/the-collection-seismology #5

Instruments #6

We want to measure... Ground motion! Caused by + Earthquakes Surface waves Body waves Free oscillations Large & small + Cultural noise + Ocean noise + Tides +... #7

We want to measure... the Earth motion at a point with respect to this same point undisturbed. Problems: - measurement is done in a moving reference frame displacement cannot be measured directly, can only observe the motion if it has an acceleration - amplitude and frequency range of seismic signals is very large need several instruments to cover the full range in amplitudes and frequencies (Instrumentation in earthquake seismology, Havskov & Alguacil, 2002) #8

Seismometer the basic principle A seismometer is a mechanical pendulum. #9

Seismometer the basic principle The motion of the seismometer mass as a function of the ground displacement is given through a differential equation resulting from the equilibrium of forces: # 10

Seismometer the basic principle The equation of motion for the mass is then: damping constant eigenfrequency What do we learn from the equation? # 11

Mechanical pendulum For slow movements (low frequency) movement of mass ~ ground acceleration measure ground acceleration # 12

Mechanical pendulum For fast movements (high frequency) movement of mass ~ ground displacement measure ground displacment # 13

Mechanical pendulum Natural frequency new push at exact the right time, i.e. when mass is at extreme position movement of mass >> ground displacement amplitudes get larger and larger (gain > 1) # 14

The electromagnetic seismometer Modern, electromagnetic seismometers always measure ground velocity. Damping through a coil moving in a permanent magnetic field Movement induces voltage Voltage ~ velocity # 15

Problem: Nonlinearity Instruments are nonlinear when: + mass moves out of measurement range (or coil) + clipping + spring changes/ages + large spring extension Solution: force feedback seismometer clipped Don t let the mass move! # 16

We want to measure... Frequency range Frequency range: Magnitude 9 Cultural noise Magnitude ~3 Dynamic range 10 10e-4 Hz Amplitude or dynamic range: 10e-1 10e-10 m ~ 180 db Earth Tides Magnitude 5 Free oscillations (adapted from Davis, IGPP) # 17

Seismometer bandwidth The type of construction defines which frequency range can be discovered scientific question defines the choice of instrument # 18

Recording seismic data several influencing factors alter the seismogram... # 19

Seismometer = Filter Seismometers act as a filter on the recorded data. Filter-effect needs to be corrected by restitution (removing instrument response) # 20