Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet
Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet
Exercise Geomagne-tic varj.ations. in H (north component), D (east component) and Z (vertical component) have been recorded at Goettingen from September 5, 17 h to September G, 2h GMT 1957. During the same time interval1 records have been obtained also of the telluric field in its northcomponent EN and its eastcomponent EE. Scale values and directions of positive change are indicated. (1) Determine the magneto-telluric impedances EN/D and EE/H for fast (period 1 10 min) and slow (period 1 1 hour) variations, evalua-ting peak value readings of pronounced deflections from the smoothed undisturbed level. Calculate the apparent resistivity pa and estimate the phase @ 0 0 0 of the impedance (0 , f 45 , + 90 ).Interpret pa and @ with one or two layer models for the two period groups separately. Then search for a model which could explain both period grLcups by calculating the response function y and solving a system o'£ two to four linear equations. (2) The magnetogram shows pronounced variations in Z which in view of the low latitude of Goettingen can be interpreted as being due to a resistivity anoma1.y. Check the correlation of Z with H. and D by visual inspection. Then choose effects with distinctly different K : D ratios and determine the coefficient A and B for the anomalous vertical field Z = AH + BD. Interpret the result.
. , . ' ., , . - ~a~neto~ran?;l~ Gottin'gen 1953 September 5-6 .i , $ .
- Page 90 and 91: Observing that rot pot rot g = - ro
- Page 92 and 93: Two special types of such anomalies
- Page 94 and 95: Model : wo+ Solution for uniform ha
- Page 96 and 97: parameter u and that the pressure d
- Page 98 and 99: (=disturbed)-variations: After magn
- Page 100 and 101: with 4 as geographic latitude. From
- Page 102 and 103: Very rapid oscillations with freque
- Page 104 and 105: ! 8. Data Collection - and Analysis
- Page 106 and 107: A horizontal electric -- field comp
- Page 108 and 109: For a data reducti.on in the fr3equ
- Page 110 and 111: Let q be the tranfer function betwe
- Page 112 and 113: . A as transfer function between A
- Page 114 and 115: -- Structural soundi~z with station
- Page 116 and 117: Since it follows that - E 1 = - T E
- Page 118 and 119: - - . the same or from different si
- Page 120 and 121: The Fourier integral - +- -io t T -
- Page 122 and 123: The weigh-t . function W is then fo
- Page 124 and 125: Two convenient filters are 3 sinx I
- Page 126 and 127: (e.g. X), their realizations by obs
- Page 128 and 129: Observe that the residual, of which
- Page 130 and 131: Example: n = 12 and @ = 95%: 1 n =
- Page 132 and 133: - As a consequence, the real and im
- Page 134 and 135: This relati-on implies .that .the l
- Page 136 and 137: 9. --- Data 5.nterpretatj.on on the
- Page 138 and 139: The "modified apparent - - resistiv
- Page 142 and 143: 9.2 Layered Sphere - The sphericity
- Page 144 and 145: The field within the conducting sph
- Page 146 and 147: and An algorithm for the direct pro
- Page 148 and 149: with I - and- a = gn g-n I 1 6-n-1
- Page 150 and 151: with ~ = - T E + as sheet current d
- Page 152 and 153: E~~ T r: j = const. or E T + E a r
- Page 154 and 155: Field equations and boundary condit
- Page 156 and 157: with N (w,y) being the Fourier tran
- Page 158 and 159: is calculated as function of freque
- Page 160 and 161: Both types of anomaly can be explai
- Page 162 and 163: A field line segment with the horiz
- Page 164 and 165: - 160 - below can neither enter nor
- Page 166 and 167: I '. - L.. . . - I . --.> . ~ 4 The
- Page 168 and 169: This law can be used to i-nterpret
- Page 170 and 171: Only in this special case will be j
- Page 172 and 173: anomalous conductivity oat OP the a
- Page 174 and 175: the product WUL' constant with L de
- Page 176 and 177: One of the thin plates represents t
- Page 178 and 179: low conductivity requires the use o
- Page 180 and 181: Other derivable properties of mantl
- Page 182: 11. References for general reading
. , . ' .,<br />
, . - ~a~neto~ran?;l~<br />
Gottin'gen 1953 September 5-6<br />
.i , $ .
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