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trans-Gaussian kriging

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Journal Article
Published: 01 November 2008
Geochemistry: Exploration, Environment, Analysis (2008) 8 (3-4): 255–265.
... using trans-Gaussian kriging following investigation of probability features, outlier identification, optimal power transformation by the Box–Cox method and spatial structure modelling. Relatively high nugget effect values for the variogram models were observed for most variables. The assumption...
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Journal Article
Journal: Geophysics
Published: 20 October 2010
Geophysics (2010) 75 (6): P31–P41.
... with the observed data. Kriging weights are found using (5) λ = K − 1 k and used to estimate the local Gaussian probability density of the outcome of the random function at the unsampled location: (6) μ KT = z t λ + μ ϕ (7) σ KT 2 = C ( 0 ) − k t λ...
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Series: Society of Exploration Geophysicists Distinguished Instructor Series
Published: 01 January 2003
DOI: 10.1190/1.9781560801962.ch4
EISBN: 9781560801962
... from the Gaussian pdf, with mean equal to the kriged value and standard deviation equal to the kriging standard deviation. Then the sampled value is merged with the rest of the data set, and a new random location is chosen. The data locations are left unchanged in the process. The result is a Gaussian...
Journal Article
Published: 01 February 2008
Geochemistry: Exploration, Environment, Analysis (2008) 8 (1): 41–48.
... shows the As stream water map of Europe prepared by kriging with the Gaussian semivariogram model and search distance and map resolution similar to the As stream water map plot from the FOREGS Geochemical Atlas of Europe . A ten-grade colour-scale was selected to present the distribution, based...
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Journal Article
Journal: AAPG Bulletin
Published: 01 October 2007
AAPG Bulletin (2007) 91 (10): 1405–1436.
... sections through the 3-D model that show different results in facies distributions using, respectively, (a) an indicator sequential Gaussian simulation (SGS), (b) an ordinary kriging, and (c) a simple nearest-neighbor extrapolation. All extrapolations used the same conditioning data, and the stochastic...
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Journal Article
Published: 01 September 2010
Journal of Environmental and Engineering Geophysics (2010) 15 (3): 93–110.
... in deeper soil layers was more closely correlated to soil texture than were shallower water content measurements. Lastly, cross-variograms of soil texture and water content were calculated, and co-kriging of water content estimates and soil texture measurements showed that geophysically-derived estimates...
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Journal Article
Published: 01 August 2005
Vadose Zone Journal (2005) 4 (3): 819–827.
... and 90% of the variation in root-zone and sub-root-zone soil water vapor concentrations, respectively. The equations were combined with kriged plant-water concentrations to map subsurface contamination. Mapping showed preferential lateral movement of tritium through a dry, coarse-textured layer beneath...
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Journal Article
Journal: Geophysics
Published: 14 November 2008
Geophysics (2008) 73 (6): R83–R95.
...Thomas Mejer Hansen; Klaus Mosegaard; Radmila Pedersen-Tatalovic; Anette Uldall; Nils Lange Jacobsen Abstract Several approaches exist to use trends in 3D seismic data, in the form of seismic attributes, to interpolate sparsely sampled well-log measurements between well locations. Kriging...
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Journal Article
Published: 07 March 2017
Bulletin of the Seismological Society of America (2017) 107 (3): 1118–1128.
..., and interpolated the crustal and velocity results using a kriging interpolation scheme. We include a new optimized gravity inversion approach using the receiver function results as a constraint for inverted density profiles. We produce constrained crustal models that characterize the SRGR as showing a shallower...
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Journal Article
Published: 17 February 2015
Bulletin of the Seismological Society of America (2015) 105 (2A): 753–764.
... set of geological and geophysical data, including seismic reflection and refraction profiles, borehole logs, and available geological information. Major geological boundaries and discontinuities have thus been identified and mapped into the model. We used kriging to interpolate the geographically...
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Journal Article
Published: 01 August 2005
Bulletin of the Seismological Society of America (2005) 95 (4): 1535–1560.
... with data from numerous ground truth ( gt ) explosions and earthquakes throughout the region, and it has been demonstrated that this model predicts P -wave travel times with associated root-mean-square (rms) errors on the order of 1 sec across the study region. Finally, a completely new multistation kriging...
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Journal Article
Journal: AAPG Bulletin
Published: 01 November 2009
AAPG Bulletin (2009) 93 (11): 1585–1595.
... assumption is made. The event A pdf and each event B 1 , B 2 , …, B N pdf, therefore, need to follow a Gaussian distribution. A normal score transformation is implemented to achieve this ( Deutsch and Journel, 1998 ), and the transform table is stored for back transformation. Simple kriging ( Deutsch...
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Journal Article
Journal: Geophysics
Published: 03 November 2006
Geophysics (2006) 71 (6): R101–R111.
... well using geostatistical notation. In this paper, we apply sequential simulation to solve the Gaussian linear inverse problem and extend conventional simple kriging and sequential simulation to include measurements of linear averages of the model space, in addition to point measurements...
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Journal Article
Published: 20 June 2017
Geochemistry: Exploration, Environment, Analysis (2017) 17 (3): 183–185.
... of trans-Gaussian kriging for national soil geochemical mapping in Ireland. GEEA , 8(3–4) , 255–265. Benavides, J., Kyser, T.K., Clark, A.H., Stanley, C. & Oates, C. 2008 a . Exploration guidelines for copper-rich iron oxide–copper–gold deposits in the Mantoverde area, northern Chile...
Journal Article
Published: 01 April 2010
Bulletin of the Seismological Society of America (2010) 100 (2): 482–496.
... at a sampling point ( Z ( u N )) is defined in the form of the Gaussian distribution but conditioning on nearby presampled values ( Z ( u 1 ),…, Z ( u N -1 )). and are obtained by solving the kriging system (see the following paragraph for details), which is a linear least-squares estimate...
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Journal Article
Published: 01 November 2008
Geochemistry: Exploration, Environment, Analysis (2008) 8 (3-4): 219–227.
...-Gaussian kriging for national soil geochemical mapping in Ireland . Geochemistry: Exploration, Environment, Analysis , 8 , 255 – 265 . ...
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Series: GCSSEPM
Published: 01 December 2010
DOI: 10.5724/gcs.10.30.0136
EISBN: 978-0-9836096-0-5
.... , Indicator Sequential Gaussian Simulation ISGS) to extrapolate facies and create new facies not mapped in outcrop. Figure 9 shows results in map view of kriging extrapolations and of ISGS simulations. Each method has one example with no preferred orientation of mounds, one example with imposed north...
Journal Article
Published: 01 December 2015
Bulletin of Canadian Petroleum Geology (2015) 63 (4): 277–286.
..., the available geological and seismic data make it possible to compute the 3D probability distributions of facies proportions, which are then used to truncate the Gaussian functions. A second method is rooted in the Bayesian sequential simulation. Recent developments have been proposed to extend this method...
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Journal Article
Journal: Geophysics
Published: 21 August 2018
Geophysics (2018) 83 (5): R429–R448.
... properties range from deterministic interpolation algorithms ( Ripley, 2005 ; Cressie, 2015 ) to geostatistical approaches such as kriging and conditional simulation ( Journel and Huijbregts, 1978 ; Pyrcz and Deutsch, 2014 ). These techniques are primarily based on local measurements from wells. Due...
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Journal Article
Journal: Geophysics
Published: 09 October 2019
Geophysics (2019)
... the oversimplified geologic structure of our parameterization — can be expected to have a frequency content similar to the source wavelet. For that reason, we use 1D Gaussian processes ( Ebden, 2015 ), as has been done in some other trans-d seismic applications ( Agostinetti and Malinverno, 2010 ; Bodin et al...
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