# VERTICAL MOVEMENTS FROM LEVELLING, GRAVITY AND GPS MEASUREMENTS

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3 rd IAG / 2th FIG Symposium, Bade, May 22-24, Table 2. Gravity chages perturbatios betwee time period The aalytical formula betwee height ad gravity disturbaces is (e.g.[2]) δ t δg[mgal] =.86δ t h[cm] () max mv Table. Chages of geoid udulatios δν betwee 994 ad 2 time period

4 rd IAG / 2th FIG Symposium, Bade, May 22-24, δ t h (cm) / epoch pt (lat) / epoch Figure. Absolute gravity values - without space-time covariace model 4 variace depreciatio of gravity field geoid udulatios (mm) variace of gravity field pt (lat) / epoch -7 Figure 2. GPS baselies- sigal coectio with space-time covariace model (9 yr (2-994)) I figure 2 variace depreciatio of gravity field took place every ie (9) years. So the pheomeo of seismicity repeated every ie years, which is cofirmed by historical seismological data []. Because of earthquakes took place i 969,i 978,i 995 ad i 2 (every ie years) time space covariace model become a useful predictio tool i Seismology.

6 rd IAG / 2th FIG Symposium, Bade, May 22-24, Table 5. Orthometric Heights ad stadard deviatio for each poit per epoch The mea height differece is 6.8mm/yr. Mea height differeces calculated ear to 5.7mm/yr from other scietific jobs developed i Volvi area. t y b T T v Pv + s s = mi f ˆσ σˆ Table 6. Aposteriori adjustmet parameters for 979, 994, 995, 996, 999 ad 2 epochs I figure vertical movemets are preseted.

7 rd IAG / 2th FIG Symposium, Bade, May 22-24, dth (cm) (5 years) pt (lat) / epoch Figure. Height differeces i cm (979-2) / pt (lat) / epoch 4. Coclusios We will defie itegrated geodesy as a powerful mathematical tool which maipulates physical ad geometrical observatios measured i differet epochs makig sigal coectio i space-time by the covariace gravity model. I the preset study space-time covariace model help us to uderstad gravity field behaviour i Volvi area. Height differeces calculated with high accuracy. Also, the biggest height differeces occurred ear to the poits 54, 64, 46, 77 which idicates the epicetre of the earthquakes. We would like to poit out that i the ear future a covariace model will be attempt to replace the classical expoetial model i volvi area which has the formula 2kM 2 si ϕs 2 (R + z) ge (S, z) = σ (6) 2kM 2 where b = si ϕ =. 8[],[5], []is a mea costat value i the whole area. (R + z) Refereces: [] Biro, P.:Time variatio of height ad gravity, Herbert wichma verlag, 98 [2] Gouaris, A., Arabelos D.N ad D.Rossikopoulos: Local vertical crustal movemets i the Mygdoia basi North Greece, resultig from gravity measuremets, Natural Hazards ad Earth System Scieces :-6, 24

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