On the Two Different Formulas for the 3D Rectangular Prism Effect in Gravimetry

Karcol, Roland; Pašteka, Roman

doi:10.1007/s00024-018-1966-y

Cited by 4 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is the same situation that we expect in the presence of subsurface cavities as shown in the example in (Blížkovský, 1979). In this concept of Bouguer anomaly calculation we handle this term as a correction, which is analogous to the terrain correctionso the K(P) term has a positive value and it is added in the process of Bouguer anomaly calculation use the classical formula from Sorokin (1951) and not the widely cited formula from Nagy (1966) the reasons are discussed in Karcol and Pašteka (2019). A more advanced approach is based on the approximation by means of 3D vertical prisms with different horizontal cross-sections (e.g.…”

Section: Typical Instruments Are: Lacoste and Romberg D Model Scintrexmentioning

confidence: 85%

“…The exact dimensions of walls and other architectural features are obtained from plans and precise geodetic measurements, carried out inside and outside of the buildings. For the calculation of the vertical component of gravitational attraction for the 3D rectangular prism we use the classical formula from Sorokin (1951) and not the widely cited formula from Nagy (1966) – the reasons are discussed in Karcol and Pašteka (2019). A more advanced approach is based on the approximation by means of 3D vertical prisms with different horizontal cross‐sections (e.g.…”

Section: Data Processingmentioning

confidence: 99%

See 1 more Smart Citation

Microgravity method in archaeological prospection: methodical comments on selected case studies from crypt and tomb detection

Pašteka

Pánisová

Zahorec

et al. 2020

Archaeological Prospection

View full text Add to dashboard Cite

Detailed and precise measurement of the Earth's gravity field (microgravity method) can be effectively used for the detection and quantification of subsurface voids and/or cavities. There exist a variety of successful applications of the microgravity method in near surface geophysics, namely in geotechnical, environmental and archaeological prospection. Using state-of-the-art 'microgal' relative gravity meters, cavities of several metres in each dimension (positioned at a similar depth) can be detected and interpreted. Such objects produce negative anomalies with amplitudes of several tens of microGals (1 microGal = 10 −8 m s −2). This contribution is focused on a methodological overview of the most important acquisition and processing steps in archaeological microgravimetry. In the processing of acquired gravimetrical data into a Bouguer anomaly, the so-called building correction plays an important role, because the gravitational effect of building masses can produce false, usually negative anomalies. Several selected methods for quantitative interpretation are presented, these are based on depth estimation and density modelling. These interpretation methods give satisfactory results in the case of these type of negative anomalies that are caused by subsurface cavities. Microgravimetry can obtain good support from electromagnetic and electrical methods, mainly from ground penetrating radar and electrical resistivity tomography, respectively. Finally, we present successful case-studies of microgravimetrical detection of crypts in various churches from the Middle Ages and period of Modern History, surveyed during recent decades in Slovakia and Czechia.

show abstract

Section: Typical Instruments Are: Lacoste and Romberg D Model Scintrexmentioning

confidence: 85%

Section: Data Processingmentioning

confidence: 99%

Microgravity method in archaeological prospection: methodical comments on selected case studies from crypt and tomb detection

Pašteka

Pánisová

Zahorec

et al. 2020

Archaeological Prospection

View full text Add to dashboard Cite

show abstract

Three-dimensional gravity modelling of a Quaternary overdeepening fill in the Bern area of Switzerland discloses two stages of glacial carving

Bandou

Schlunegger

Kissling

et al. 2022

Sci Rep

View full text Add to dashboard Cite

The geometry of glacial overdeepenings on the Swiss Plateau close to Bern was inferred through a combination of gravity data with a 3D gravity modelling software. The target overdeepenings have depths between 155 and > 270 m and widths between 860 and 2400 m. The models show incisions characterized by U-shaped cross-sectional geometries and steep to over-steepened lateral flanks. Existing stratigraphic data reveals that the overdeepenings were formed and then filled during at least two glacial stages, which occurred during the Last Glacial Maximum (LGM) within the Marine Isotope Stage (MIS) 2, and possibly MIS 6 or before. The U-shaped cross-sectional geometries point towards glacial erosion as the main driver for the shaping of the overdeepenings. The combination of the geometries with stratigraphic data suggests that the MIS 6 (or older) glaciers deeply carved the bedrock, whereas the LGM ice sheet only widened the existing valleys but did not further deepen them. We relate this pattern to the different ice thicknesses, where a thicker MIS 6 ice was likely more powerful for wearing down the bedrock than a thinner LGM glacier. Gravity data in combination with forward modelling thus offers robust information on the development of a landscape formed through glaciers.

show abstract

Gravity anomaly models with geophysical interpretation of the Republic of Croatia, including Adriatic and Dinarides regions

Varga

Stipčević

2021

Geophysical Journal International

View full text Add to dashboard Cite

Summary Models of gravity corrections and anomalies are created and distributed over the territory of the Republic of Croatia, including the Adriatic and Dinarides regions. Published models cover the study area between 42.0○N < ϕ < 46.6○N and 13.0○E < λ < 19.5○E with a 1′ × 1′ resolution. Distributed models include gravity corrections and anomalies of normal gravity, atmosphere, free-air, Bouguer, terrain, complete Bouguer, and topographic-isostatic according to Airy-Heiskanen (A-H) model. High-resolution digital elevation/bathymetry model (DEM/DBM) was prepared from SRTMv3.0 and GEBCO2019 models. It was then used for the computation of topographic and topographic-isostatic gravity effects using rectangular prisms with constant crustal density. Gridding of the scattered gravity data was performed with the Kriging interpolation method using complete Bouguer anomalies by implementing the remove-grid-restore methodology. Developed models were interpreted providing insights into the topography-reduced (anomalous) Earth’s gravity field reflecting the variations in mass/ density distribution within the crust and upper mantle over the study area.

show abstract

On the Two Different Formulas for the 3D Rectangular Prism Effect in Gravimetry

Cited by 4 publications

References 10 publications

Microgravity method in archaeological prospection: methodical comments on selected case studies from crypt and tomb detection

Microgravity method in archaeological prospection: methodical comments on selected case studies from crypt and tomb detection

Three-dimensional gravity modelling of a Quaternary overdeepening fill in the Bern area of Switzerland discloses two stages of glacial carving

Gravity anomaly models with geophysical interpretation of the Republic of Croatia, including Adriatic and Dinarides regions

Contact Info

Product

Resources

About