3DINVER.M: a MATLAB program to invert the gravity anomaly over a 3D horizontal density interface by Parker–Oldenburg's algorithm

Gómez-Ortíz, David; Agarwal, B. N. P.

doi:10.1016/j.cageo.2004.11.004

Cited by 153 publications

(73 citation statements)

References 9 publications

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“…[30] We used the three-dimensional inverse gravity modeling program 3DINVER.M [Gómez-Ortiz and Agarwal, 2005], which is based on the algorithm of Oldenburg [1974], to assess aquifer properties and changes in groundwater storage between the two gravity surveys. Unlike previous studies that approximate the water table as a planar surface [Montgomery, 1971;Pool and Eychaner, 1995;Pool and Schmidt, 1997;Howle et al, 2003] or a simple geometrical shape [Poeter, 1990;Damiata and Lee, 2006], 3DINVER.M allows for a continuous, smoothly varying surface of arbitrary shape.…”

Section: Inverse Modelingmentioning

confidence: 99%

“…[46] As discussed previously, the 3DINVER.M inverse modeling program [Gómez-Ortiz and Agarwal, 2005] was used to estimate the change in groundwater volume per unit area (Dh in equation (2)) between March and May 2005. This is represented as a map of the net thickness of a layer of stored groundwater (Figure 6).…”

Section: Groundwater Mass Changesmentioning

confidence: 99%

“…[68] The inversion method used here [Gómez-Ortiz and Agarwal, 2005] seems optimal for capturing the smoothly varying surface that is expected to represent changes in the water table elevation. The program requires an estimate of the magnitude of the mean change in water table elevation.…”

Section: Data Analysis Protocolsmentioning

confidence: 99%

See 2 more Smart Citations

Estimating specific yield and storage change in an unconfined aquifer using temporal gravity surveys

Gehman

Harry

Sanford

et al. 2009

Water Resources Research

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[1] Two high-precision gravity surveys were conducted to determine groundwater mass changes at a managed groundwater recharge site in northeastern Colorado. Gravity data were collected during pumping and two months after pumping ceased. During pumping, gravity was lower by as much as 46 mGal near the pumping wells and higher by as much as 90 mGal near the recharge ponds in comparison to data collected after pumping had ceased. These differences are attributed to changes in groundwater mass associated with drawdown and infiltration. Inverse modeling of the gravity data indicates a 5.1 Â 10 5 m 3 decrease in storage beneath the recharge ponds between the two surveys, which we attribute to dissipation of the groundwater mound created by recharge during pumping. This estimate of the change in groundwater storage is made independently of assumptions of physical properties of the aquifer. Dividing the change in water volume per unit area determined from the gravity modeling by the change in water level measured in wells provides an estimate of specific yield (S y ) of 0.21 ± 0.03, which is within the range of specific yield estimates derived from aquifer tests at the site. Water level changes predicted from the gravity data agree on average to within ±0.45 m of those measured, which we take to be an estimate of the uncertainty in water table depth predictions that can be obtained from gravimetric data in unconfined aquifers. The study covers a 3.2 km 2 area, providing a prototype for similar studies at larger scales.

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Section: Inverse Modelingmentioning

confidence: 99%

Section: Groundwater Mass Changesmentioning

confidence: 99%

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Estimating specific yield and storage change in an unconfined aquifer using temporal gravity surveys

Gehman

Harry

Sanford

et al. 2009

Water Resources Research

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“…This RMS er ror, re ferred to as the RMS er ror of 0.0157 km from Gómez-Ortiz and Agarwal (2005), in ter prets that the in version re sult can be ac cept able . Fig ure 3 shows the Moho depth dis tri bu tion in the Taiwan Strait area.…”

Section: Moho Depth and Discussionsmentioning

confidence: 64%

“…The pro gram, based on the Parker-Oldenburg method, has been pre sented by Gómez-Ortiz and Agarwal (2005) for com put ing 3D ge om e try of the den sity in ter face from a gridded grav ity anom aly. This pro ce dure is based on a re lation ship be tween the Fou rier trans form of the grav ity anomaly and the sum of the Fou rier trans form of the in ter face topog ra phy.…”

Section: The Ory and Al Go Rithmmentioning

confidence: 99%

Moho Depth Derived from Gravity Data in the Taiwan Strait Area

Hsieh

Yen²,

Shih

2010

Terr. Atmos. Ocean. Sci.

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AB STRACTWe have con structed a re gional Bouguer grav ity anom aly map us ing ma rine and land data from Tai wan and the Chi nese prov ince of Fuchien, as well as SEASAT altimetry-de rived grav ity data for the Tai wan Strait and its sur round ing area. The map shows isogals trending gen er ally in a NE-SW di rec tion, con form ing with the over all shal lower geo log i cal strike of the strait. Re mov ing grav ity ef fects gen er ated by the wa ter layer and seafloor to pog ra phy, the re gional Bouguer grav ity anom aly is ob tained, re flect ing the subsurface struc ture. Moho depth is then com puted by the Parker-Oldenburg it er a tive method from the re gional Bouguer grav ity data set. Over the strait area, the ge om e try of the Moho re lief is smooth with an av er age depth of about 30 km, ex cept for the Penghu up lift. Moho depth is shal lower in the Tai wan Strait and thick ens to ward both sides of the strait. The rel a tively shal lower Moho depth, reach ing up to 28 km, is con vex up ward un der neath the Penghu uplift.

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Moho depth and crustal thinning in the Marmara Sea region from gravity data inversion

et al. 2017

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The free‐air gravity in the Marmara Sea reveals that the low density of sedimentary basins is partly compensated in the lower crust. We compiled geophysical upper crust studies to determine the sediment basin geometries in and around the Marmara Sea and corrected the gravity signal from this upper crust geology with the Parker method. Then, assuming long wavelength anomalies in the residual gravity signal is caused by variations in the Moho topography, we inverted the residual to build the Moho topography. The result shows that the Moho is uplifted on an area greater than the Marmara Sea with a maximum crust thinning beneath the basins where the Moho is at about 25 km, 5 km above the reference depth. We then evaluated the Neogene extension by comparing the surface covered by our 3‐D thinned model with the surface covered by an unthinned model with same crustal volume. Comparing this surface with areal extension rate from GPS data, we found a good compatibility indicating that the extension rate averaged over the Sea of Marmara area probably remained close to its present‐day value during major changes of tectonic regime, as the incursion of the North Anatolian Fault system during the Pliocene leads to the establishment of the dominantly strike‐slip present‐day system. We also show that crustal extension is distributed over a wider domain in the lower crust than in the upper crust, and that this may be accounted for by a relatively minor component of lower crustal ductile flow.

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3DINVER.M: a MATLAB program to invert the gravity anomaly over a 3D horizontal density interface by Parker–Oldenburg's algorithm

Cited by 153 publications

References 9 publications

Estimating specific yield and storage change in an unconfined aquifer using temporal gravity surveys

Estimating specific yield and storage change in an unconfined aquifer using temporal gravity surveys

Moho Depth Derived from Gravity Data in the Taiwan Strait Area

Moho depth and crustal thinning in the Marmara Sea region from gravity data inversion

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