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3.04 Gravimetric Methods – Superconducting Gravity Meters

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108 <strong>Superconducting</strong> <strong>Gravity</strong> <strong>Meters</strong><br />

(a)<br />

nm s <strong>–</strong>2<br />

(b)<br />

mm<br />

(c)<br />

mm<br />

11.0<br />

7.0<br />

3.0<br />

<strong>–</strong>1.0<br />

4/18/00<br />

8.0<br />

6.0<br />

4.0<br />

2.0<br />

4/22/00 4/26/00 4/30/00<br />

0.0<br />

4/18/00 4/22/00 4/26/00 4/30/00<br />

590.0<br />

570.0<br />

550.0<br />

530.0<br />

510.0<br />

490.0<br />

4/18/00 4/22/00 4/26/00 4/30/00<br />

Figure 26 <strong>Gravity</strong> residual observations (a),<br />

accumulated precipitation (per hour) (b), and groundwater<br />

table level (c) at Moxa, Germany, from 18 Apr. to 2 May 2000.<br />

Reproduced from Kroner C, Jahr T, and Jentzsch G (2004)<br />

Resultsfrom44monthsofobservationswitha<br />

superconducting gravimeter at Moxa/Germany. Journal of<br />

Geodynamics 38(3<strong>–</strong>5): 263<strong>–</strong>280, with permission from Elsevier.<br />

<strong>3.04</strong>.3.7 Earth Rotation<br />

At the long period end of the observable spectrum of<br />

gravity (Figure 15), there are two isolated theoretical<br />

periods of the Earth’s normal-mode spectrum. One is<br />

the inner-core wobble (ICW), whose period is of the<br />

order of years. For model PREM, wobble programs<br />

yield a value of about 700 days, but the theory is<br />

hardly suitable for such a long-period motion.<br />

Mathews et al. (2002) quote a value of 6.6 yr that is<br />

derived from their theory and with VLBI observations<br />

and models, but at either period the predicted<br />

small amplitude makes this a difficult target (e.g.,<br />

Guo et al., 2006).<br />

The other mode is much more accessible, and is<br />

of course the CW, with a period of about 435 days in<br />

the mantle reference frame. This is one of the two<br />

components of polar motion normally seen in gravity<br />

studies, the other being the smaller amplitude forced<br />

annual wobble that is seen in combination with<br />

the annual tide and other seasonal effects. Note that<br />

at much longer periods there is an 18.6 lunisolar<br />

year tide that will be extremely difficult to<br />

identify in gravity. Discussion of Richter’s (1983)<br />

observation of the CW has been mentioned earlier<br />

and almost every SG in the GGP network has<br />

reported a clear signal of the CW <strong>–</strong> see, for example,<br />

Richter et al. (1995b) and Sato et al. (1997b) for the<br />

Japanese Antarctic station. Here, we review only a<br />

few results.<br />

Loyer et al. (1999) showed the importance of using<br />

a long data set when trying to infer the transfer<br />

function of the polar motion; clearly more than<br />

nm s <strong>–</strong>2<br />

Cantley (CA)<br />

120<br />

<strong>Gravity</strong> residuals<br />

100<br />

Hydrology<br />

Snow<br />

80<br />

60<br />

40<br />

20<br />

0<br />

<strong>–</strong>20<br />

<strong>–</strong>40<br />

<strong>–</strong>60<br />

<strong>–</strong>80<br />

1997 1998 1999 2000 2001 2002 2003 2004<br />

Year<br />

nm s <strong>–</strong>2<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

<strong>–</strong>20<br />

<strong>–</strong>40<br />

Wettzell (WE)<br />

<strong>Gravity</strong> residuals<br />

Hydrology<br />

Snow<br />

<strong>–</strong>60<br />

1999.5 2000 2000.5 2001 2001.5 2002 2002.5 2003 2003.5<br />

Year<br />

Figure 27 <strong>Gravity</strong> residuals, hydrology (soil moisture þ snow), and snow-modeled contributions at stations Cantley<br />

(Canada) and Wettzell (Germany). Reproduced from Boy J-P and Hinderer J (2006) Study of the seasonal gravity signal in<br />

superconducting gravimeter data. Journal of Geodynamics 41: 227<strong>–</strong>233, with permission from Elsevier.

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