epsc.wustl.edu_~epsc454_grav-corrections
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GRAVITY SURVEY CORRECTIONS
NAME REASON CORRECTION
Observed Gravity(gobs)
Gravity readings observed at eachgravity station after correctionshave been app lied for ins trumentdrift and earth tides .
Worden measurements are indivisions. There is a dialcons tant of 0.0999 mgals/d iv.Convert div. measu rements tomgals.
Repeat measurments at a basestation. each hour. Remove anytrend in the bas e station removing a linear trend is theeasiest.
Lati tude Correction(g n )
Correction from gobs thataccounts for Earth's ellipticalshape and rotation. The gravityvalue that would be obs erved if Earth were a perfect (no geologicor topographic complexities),rotating ellipsoid is referred to asthe normal gravity . GravityINCREASES with increasinglatitude. Correction is ADDED aswe move toward the equator.Correction is applied ONLY for relitive movement in the N-Sdirection. Correction for a givenlatitude is linear over about 1 km.
g n = 978031.85 (1.0 +
0.005278895 sin 2(lat) +
0.000023462 sin 4(lat)) (mgal)
where lat is latitude in degrees
Taking the derivative w.r.t. lat and
converting to (m) from (rad) gives acorrection of:
g l = 0.000812 * sin( 2 * lat)mgal/m (N-S)
Free Air Corrected Gravity (g fa )
The free-air correction accountsfor gravity variations caused byelevation differences in theobservation locations. (does NOTinclude the effect for mass
between observed point and thedatum)
g fa = 0.3086h (mgal)
where h is the elevation (in meters)at which the gravity station isabove/below the datum
Correction is ADDED for stationsABOVE the datum
Correction is SUBTRACTED for stations BELOW the datum
Bouguer SlabCorrected Gravity
The Bouguer correction is a first -order correction to account for the
g b = - 0.04193 h (mgal)
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(g b ) excess mass underlyingobservation points located atelevations higher than th eelevation datu m (sea level or thegeoid). Conversely, it accountsfor a mass deficiency atobservation points located belowthe elevation datum.
is the average density of the rocks underlying thesurvey area in gm/cc
Correction is SUBTRACTED for stations ABOVE the datum
Correction is ADDED for stations BELOW the datum
Terrain Corrected Bouguer Gravity ( gt)
The Terrain correction accountsfor variations in the observedgravitational acceleration caused
by variations in topography near each obs ervation point. Becauseof the assumptions made duringthe Bouguer Slab correction, theterrain correction is p ositiveregardless of whether the localtopography consists of amountain or a valley.
g tc is computed with tablesor templates o r by
computer and is ADDED togobs.
Bouguer gravity is: g obs +/- g l +/- g fa -/+ g b + g tc