Peter Vajda


Vajda Peter, J. Bódi, A.G. Camacho, J. Fernández, R. Pašteka, P. Zahorec, J. Papčo (2024)
Gravimetric inversion based on model exploration with growing source bodies (Growth) in diverse earth science disciplines (review paper)
AIMS Mathematics Vol. 9, issue 5, pp 11735–11761, doi: 10.3934/math.2024575, OA free PDF
(WOS-SCI, Q1 (JCR), IF(2022) = 2.2, ISSN 2473-6988, AIMS Press)

Camacho A.G., Peter Vajda, J. Fernández (2023/2024)
GROWTH-23: An integrated code for inversion of complete Bouguer gravity anomaly or temporal gravity changes
Computers and Geosciences  Vol. 182 (January 2024), 105495 (online 23. Nov. 2023),, OA free PDF
(WOS-SCI, CCC, Q1 (JCR), Q1 (SJR), IF(2022) = 4.4, Elsevier, ISSN: 0098-3004)


Bódi Jozef, Peter Vajda*, Antonio G. Camacho, Juraj Papčo, José Fernández (2023)
On gravimetric detection of thin elongated sources using the Growth inversion approach 
Surveys in Geophysics (2023) 44(6): 1811–1835 (online 29 April 2023), OA free PDF
(WOS-SCI, CCC, Q1 (JCR), Q1 (SJR), IF(2022) = 4.6, IF(5yr) = 6.6, Springer Nature)

Pánisová, J., F. Greco*, D. Carbone, S.F. Branca, Peter Vajda (2023)
New insights into geological setting of the summit area of mount Etna volcano (Italy) inferred from 2D gravity data modelling
Frontiers in Earth Science (2023) 11: 1171884 (online 24 May 2023), doi 10.3389/feart.2023.1171884, OA free PDF
(WOS-SCI, CCC, Q1 (SJR), Q2 (JCR), IF(2022) = 2.9, eISSN 2296-6463, Frontiers Media, Switzerland)


Vajda Peter, Antonio G. Camacho, José Fernández (2022/2023)
Benefits and limitations of the Growth inversion approach in volcano gravimetry demonstrated on the revisited Tenerife 2004–2005 unrest 
Surveys in Geophysics (2023), 44(2): 527–554 (online 26 Sept. 2022),, OA free PDF
(WOS-SCI, CCC, Q1 (JCR), Q1 (SJR), IF(2021) = 7.965, Springer Nature)


Camacho Antonio G., Peter Vajda, Craig A. Miller, José Fernández (2021)
A free-geometry geodynamic modelling of surface gravity changes using Growth-dg software
Scientific Reports (2021) 11: 23442 (online 6 Dec 2021) doi 10.1038/s41598-021-02769-z, OA free PDF
(WOS-SCI, CCC, Q1 (JCR), Q1 (SJR), IF(2020) = 4.379, IF(5yr) = 5.133, Nature Portfolio)

Vajda Peter, P. Zahorec, C.A. Miller, H. Le Mével, J. Papčo, A.G. Camacho (2021)
Novel treatment of the deformation–induced topographic effect for interpretation of spatiotemporal gravity changes: Laguna del Maule (Chile)
Journal of Volcanology and Geothermal Research 414, 107230 (June 2021) doi 10.1016/j.jvolgeores.2021.107230
(WOS-SCI, CCC, Q1 (SJR), Q2 (JCR),  IF(2020) = 2.789, Elsevier) invited research paper

Berrino Giovanna, Peter Vajda, P. Zahorec, A.G. Camacho, V. De Novellis, S. Carlino, J. Papčo, E. Bellucci Sessa, R. Czikhardt (2021)
Interpretation of spatiotemporal gravity changes accompanying the earthquake  of 21 August 2017 on Ischia (Italy)
Contributions to Geophysics and Geodesy, 51(4): 345–371, doi: 10.31577/congeo.2021.51.4.3
(SCOPUS, WOS-ESCI, DOAJ, Q3 (SJR), eISSN: 1338-0540) OA free PDF

Vajda Peter, Pavol Zahorec, Juraj Papčo, Richard Czikhardt (2021)
Deformation-induced topographic effect due to shallow dyke: Etna December 2018 fissure eruption case study.
Contributions to Geophysics and Geodesy, 51(2): 165–188, doi 10.31577/congeo.2021.51.2.4
(SCOPUS, WOS-ESCI, DOAJ, Q3 (SJR), eISSN: 1338-0540) OA free PDF


Vajda Peter, I. Foroughi, P. Vaníček, R. Kingdon, M. Santos, M. Sheng, M. Goli (2020)
Topographic gravimetric effects in earth sciences: Review of origin, significance and implications.
Earth-Science Reviews
, vol 211 (Dec 2020), 103428,
(CC/WOS-SCI, Q1, SJR=3.750, IF=9.724, IF(5yr)=10.973, CiteScore=15.0, Elsevier, ISSN: 0012-8252)
(cena SAV za špičkovú vedeckú publikáciu - prvý percentil)

Vajda Peter, P. Zahorec, J. Papčo, D. Carbone, F. Greco, M. Cantarero (2020)
Topographically predicted vertical gravity gradient field and its applicability in 3D and 4D microgravimetry: Etna (Italy) case study.
Pure and Applied Geophysics, 177(7): 3315–3333, 
(CC/WOS-SCI, Q2, IF=1.615, Springer Nature) read online

pred 2020 - výber

Vajda Peter, Pavol Zahorec, Dušan Bilčík, Juraj Papčo, 2019
Deformation–induced topographic effects in interpretation of spatiotemporal gravity changes: Review of approaches and new insights.
Surveys in Geophysics,

Prutkin Ilya, Peter Vajda, Thomas Jahr, Florian Bleibinhaus, Pavel Novák, Robert Tenzer, 2017
Interpretation of gravity and magnetic data with geological constraints for 3D structure of the Thuringian Basin, Germany.
Journal of Applied Geophysics 136: 35–41, doi 10.1016/j.jappgeo.2016.10.039, PDF

Zahorec P., R. Pašteka, J. Mikuška, V. Szalaiová, J. Papčo, D. Kušnirák, J. Pánisová, M. Krajňák, P. Vajda, M. Bielik, I. Marušiak, 2017.
National Gravimetric Database of the Slovak Republic (chapter 7) pp.113–125,
In book: Pašteka Roman, Ján Mikuška and Bruno Meurers (eds.): Understanding the Bouguer Anomaly: A Gravimetry Puzzle, Elsevier, ISBN 978-0-12-812913-5, doi 10.1016/B978-0-12-812913-5.00006-3 , book , chapter

Prutkin Ilya, Vajda Peter, Jo Gottsmann, 2014
The gravimetric picture of magmatic and hydrothermal sources driving hybrid unrest on Tenerife in 2004/5.
Journal of Volcanology and Geothermal Research 282: 9–18, doi 10.1016/j.jvolgeores.2014.06.003,
PDF, preprint

Prutkin Ilya, Vajda Peter, Bielik M, Bezák V, Tenzer R, 2014
Joint interpretation of gravity and magnetic data in the Kolárovo anomaly region by separation of sources and the inversion method of local corrections.
Geologica Carpathica, 65(2): 163–174, doi: 10.2478/geoca-2014-0011  PDF

Tenzer Robert, Bagherbandi Mohammad, Vajda Peter, 2013
Global model of the upper mantle lateral density structure based on combining seismic and isostatic models.
Geosciences Journal 17(1): 65−73, doi: 10.1007/s12303-013-0009-z  PDF

Vetchfinskii V.S., Túnyi I., Vajda P., Solov’eva S.S., 2013
Effects of and methods for determination of induced magnetic anisotropy of igneous and metamorphosed rocks.
Studia Geophysica et Geodeatica 57(1): 118-137, doi: 10.1007/s11200-011-1177-9  PDF

Vajda P
, Prutkin I, Tenzer R, Jentzsch G, 2012
Inversion of temporal gravity changes by the method of local corrections: A case study from Mayon volcano, Philippines.
Journal of Volcanology and Geothermal Research Vol. 241–242, pp 13–20, doi: 10.1016/j.jvolgeores.2012.06.020  PDF

Tenzer R, Gladkikh V, Novák P, Vajda P, 2012
Spatial and Spectral Analysis of Refined Gravity Data for Modelling the Crust–Mantle Interface and Mantle-Lithosphere Structure.
Surveys in Geophysics 33(5): 817–839, doi: 10.1007/s10712-012-9173-3, PDF  

Tenzer R, Novák P, Vajda P, Gladkikh V, Hamayun, 2012
Spectral harmonic analysis and synthesis of Earth’s crust gravity field.
Computational Geosciences, 16(1):193–207, doi: 10.1007/s10596-011-9264-0, PDF

Tenzer R., Novák P., Hamayun, Vajda P., 2012
Spectral expressions for modelling the gravitational field of the Earth’s crust density structure.
Studia Geophysica et Geodeatica
56(1):141–152, doi: 10.1007/s11200-011-9023-7, PDF

Tenzer R., Hamayun, Novák P., Gladkikh V., Vajda P., 2012
Global crust-mantle density contrast estimated from EGM2008, DTM2008, CRUST2.0, and ICE-5G.
Pure and Applied Geophysics
169(9): 1663–1678, doi: 10.1007/s00024-011-0410-3, PDF

Prutkin I., Vajda P., Tenzer R., Bielik, M., 2011
3D inversion of gravity data by separation of sources and the method of local corrections: Kolarovo gravity high case study.
Journal of Apllied Geophysics
75(3):472–478, doi: 10.1016/j.jappgeo.2011.08.012, PDF

Tenzer R., Novák P., Vajda P., Ellmann A., Abdalla A., 2011
Far-zone gravity field contributions corrected for the effect of topography by means of Molodensky’s truncation coefficients.
Studia Geophysica et Geodeatica
, 55(1):55–71, doi: 10.1007/s11200-011-0004-7

Tenzer R., J. Mikuška, I. Marušiak, R. Pašteka, R. Karcol, P. Vajda, P. Sirguey, 2010.
Computation of the atmospheric gravity correction in New Zealand.
New Zealand Journal of Geology and Geophysics
, 53(4): 333–340, doi: 10.1080/00288306.2010.510171

Tenzer, R., Hamayun, and P. Vajda, 2009.
Global maps of the CRUST 2.0 crustal components stripped gravity disturbances,
Journal of Geophysical Res
earch, 114, B05408, doi: 10.1029/2008JB006016

Vajda, P., A. Ellmann, B. Meurers, P. Vaníček, P. Novák, and R. Tenzer, 2008.
Global ellipsoid-referenced topographic, bathymetric and stripping corrections to gravity disturbance.
Stud. Geophys. Geod.
52(1): 19–34, doi: 10.1007/s11200-008-0003-5

Vajda, P., P. Vaníček, P. Novák, R. Tenzer, and A. Ellmann, 2007.
Secondary indirect effects in gravity anomaly data inversion or interpretation,
J. Geophys. Res.
, 112, B06411, doi: 10.1029/2006JB004470

Vajda, P., P. Vaníček, and B. Meurers. 2006.
A new physical foundation for anomalous gravity.
Stud. Geophys. Geod.
 50(2): 189–216, doi:10.1007/s11200-006-0012-1

Vajda, P. and P. Vaníček, 1999.
Truncated geoid and gravity inversion for one point-mass anomaly.  
Journal of Geod
esy 73(2): 58–66, doi: 10.1007/s001900050219

Vechfinskii, V.S. and P. Vajda, 1998.
Determination of Thermal Magnetization Using the Anhysteretic Magnetization Method.
, Physics of the Solid Earth34(10): 843–848.

Vaníček, P., W. Sun, P. Ong, Z. Martinec, P. Vajda and B. ter Horst, 1996.
Downward Continuation of Helmert´s Gravity.
Journal of Geod
esy 71(1): 21–34.

prednášky a konferenčné príspevky (výber)

Vajda, P., Zahorec, P., Miller, C.A., Le Mével, H., Papčo, J., Camacho, A.G. (2021): Application of deformation–induced topographic effect in interpretation of 2013–2016 spatiotemporal gravity changes at Laguna del Maule (Chile), EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-467,, 2021 (display materials PDF)

Vajda, P., Zahorec, P., Papčo, J., Bilčík, D., Greco, F., Cantarero, M., Carbone, D., Pereda De Pablo, J. (2019) Recommending best practice for treating deformation induced effects in volcano gravimetry. IASPEI/IAVCEI and ESC annual workshop 2019 on Volcano Seismology and Acoustics, Garachico, Tenerife, Canary Islands, 27 September – 3 October, 2019

Vajda Peter, Zahorec P., Bilčík D., Papčo J., Carbone D., Greco F., Cantarero M. (2019) Modelling Vertical Gradients of Gravity: Application to 4D Volcano Gravimetry, Symposium: JG02 - Theory and Methods of Potential Fields (IAG, IAGA) 27th General Assembly IUGG, 8–18 July 2019, Montreal, Canada (oral talk, abstract ref No: IUGG19-0281)

Bielik M, I Prutkin, P Vajda, J Pánisová, B Šimonová, J Dérerová (2019) Multiple geophysical approaches to investigating structure and properties of Earth lithosphere: three Central Europe case studies. 16 Annual Meeting AOGS, 28 July – 2 August, 2019, Singapore (poster, abstract SE10-A014)

Vajda Peter (2018). Issues to be treated carefully in interpretation of spatiotemporal gravity changes. Seminar of Institute of Geophysics and Tectonics, School of Earth and Environment, University of Leeds, Leeds, UK, 19 November 2018 (invited IGT seminar talk)

Vajda Peter, Pavol Zahorec, Dušan Bilčík, Juraj Papčo, Ladislav Brimich (2018) On gravimetric corrections in interpretation of spatiotemporal gravity changes. Workshop Herbstagung der AKGG (Arbeitskreis Geodäsie und Geophysik), 6–9 November 2018, UFS Schneefernerhaus, Zugspitze, Germany (oral)

Vajda Peter, Pavol Zahorec, Dušan Bilčík, Juraj Papčo (2018) Deformation–induced topographic effect (DITE) in volcano gravimetry. IASPEI/IAVCEI and ESC Annual Workshop 2018, Inter-Association Commission on “Volcano Seismology and Acoustics”, Working Group "Seismic phenomena associated with volcanic activity", September 29 – October 4, 2018, Saint Pierre, Reunion, Indický oceán (oral, abstract)

Vajda Peter, Zahorec Pavol, Papčo Juraj (2016) Deformation induced topographic effects in interpretation of time-lapse gravity changes. Workshop “25 years advancing volcano seismology in a wider volcanological context” of working group Volcano Seismology of the European Seismological Commission, September 26th – October 1st, 2016, Stromboli, Aeolian Islands, Italy (oral, abstract)

Vajda Peter, Pohánka V., Prutkin I., Gottsmann J. and Pánisová J. (2016) Recent contributions of gravimetry to studying volcanic unrest or reactivation. 35th International Geological Congress, 27 Aug – 4 Sept 2016, CTICC Cape Town, South Africa (oral, abstract, paper No. 1582)

Vajda Peter, V. Pohánka, J. Pánisová,  I. Prutkin, J. Gottsmann (2016) On gravimetric tracking of magmatic fluids (of volcanic unrest) in the upper crust. SEG-AGU workshop „Upper Crust Physics of Rocks“, 11–13 July 2016, Hilo Hawaiian Hotel, Hilo, Hawaii (poster)

Prutkin Ilya, Peter Vajda, Gerhard Jentzsch (2016) Joint 3D inversion of gravity and magnetic data with geological constraints – an alternative approach. EGU General Assembly 2016, 17–22 April 2016, Vienna, Austria (Session G4.1/GD8.6: Acquisition and processing of gravity and magnetic field data and their integrative interpretation) (poster)

Vajda Peter, Ilya Prutkin, Jo Gottsmann (2014) A gravimetric model, seismically constrained, of the Teide 2004/5 unrest, based on signal decomposition and vertical separation of sources. IASPEI/IAVCEI Joint Commission ‘Volcano Seismology’ in co-operation with ESC Working Group ‘Seismic Phenomena Associated with Volcanic Activity’. “Comparing and Testing Different Models for Volcano Seismicity“ November 17–21 2014, Lough Rynn castle, Leitrim, Ireland (oral)

Vajda Peter, Ilya Prutkin, Jo Gottsmann (2014) On gravimetric monitoring and analysis of volcanic edifice unrest and possible magma recharge. 1st International Conference on Volcanic Landscapes (VOLAND 2014) 16–18 October 2014, Petros M. Nomikos Conference Center, Santorini Island, Greece

Vajda Peter, Ilya Prutkin, Jo Gottsmann, M Bielik, V Bezák, R Tenzer, Ladislav Brimich (2014) On capabilities of modern gravimetric methods in studying dynamic magmatic systems. 1st International Conference on Subduction, Volcanism and the Evolution of Oceanic and Continental Crust (SVEOCC 2014), February 10–16, 2014, Nadi, Fiji (oral)

Vajda Peter, Ilya Prutkin, Jo Gottsmann (2013) Reinterpretation of Teide 2004–2005 gravity changes by 3D line segments approximation (oral, invited talk). 15th annual conference of IAMG: Frontiers of Mathematical Geosciences: New approaches to understand the natural world, 2–6 Sept., 2013, Madrid, Spain

Nováka P., Tenzer, R., Vajda P. (2012) Spectral representations of Earth inner density structures and gravity field. EGU General Assembly 2012, session G1.1 (poster, abstract EGU2012-10024), Vienna, Austria

Tenzer R, Hamayun, Novák P, Gladkikh V, Vajda P (2011) The crust-mantle density contrast estimated based on EGM2008, DTM2008, CRUST2.0 and ICE-5G. Session G4.2/GD1.5: Geodynamics - Gravity modelling for understanding of the solid Earth structure and geodynamical processes, EGU General Assembly, April 3–8, 2011, Vienna, Austria (poster)

Tenzer, R., Hamayun, P. Vajda, R. Riva (2008) Global map of the ice and sediment stripped BT gravity disturbances. AGU Fall Meeting, 15–19 December 2008, San Francisco, California, USA (poster)

Vajda, P., P. Vaníček, P. Novák, R. Tenzer, A. Ellmann, and B. Meurers (2008). On ambiguities in definitions and applications of Bouguer gravity anomaly. IAG International Symposium on Gravity, Geoid and Earth Observation, 23–27 June 2008, Chania, Crete, Greece. (poster)

Vajda P., A. Ellmann, B. Meurers, P. Vaníček, P. Novák, R. Tenzer (2007) On a refined global topographic correction to gravity disturbances. XXIV IUGG General Assembly, July 2–13, 2007, Perugia, Italy, (oral)

Tenzer, R., P. Novák, A. Ellmann, P. Vajda (2006). Far-zone effects in gravimetric geoid modelling by means of the surface truncation coefficients. 1st International Symposium of The International Gravity Field Service, August 28 – September 1, 2006, Istanbul, Turkey, (poster)

Vajda, P., P. Vaníček, P. Novák, R. Tenzer and A. Ellmann (2006) Secondary indirect effects in gravimetry. 2‐nd Workshop on International Gravity Field Research, Smolenice castle, Slovakia, May 8–9, 2006, (oral)

Vajda, P., Brimich, L (2003) Analytical derivation of the of the instant of the dimple pattern in 2D truncation filtering methodology for a point source of heat geodynamic model. EGS/AGU/EUG Joint Assembly, Nice, France, April 6–11, 2003, (poster)

Vajda, P., Brimich, L., Jentzsch, G., Jahr, T., Weise, A (2003) Interpreting temporal changes of gravity at Mayon using the TFM: preliminary results. Workshop „Time-variable deformation and gravity fields: theory, observations, and modelling.“ Casa de los Volcanes, Lanzarote, Canary Islands, Spain, February 18–21, 2003, (oral)

Vajda, P (2000) Interpreting gravity data by means of truncation filtering. 8th International Alpine Gravimetry Colloquium, Leoben, Austria, May 4–5, 2000, (oral)

Vajda, P., P. Vaníček, Z. Martinec M. Paton (1993) Truncated Geoid and the Inverse Gravimetric Problem: Progress Report., The CGU Annual Meeting, Banff, Alberta, Canada, May 9–11, 1993, (oral)

Vajda, P., M.C. Santos, P. Vaníček, P. Ong M.R. Craymer (1992) A Comparison of Geoidal Deflections Computed from the UNB´91 Geoid with Observed Astrodeflections., The 1992 Spring Meeting of AGU/CGU/MSA, Montreal, Canada, May 12–16, 1992, (oral)

Vajda, P. (1990) Investigation of Possibility to Determine the Palaeointensity of the Thermoremanently Magnetised Synthetic Magnetite by the Method of Anhysteretic Magnetising., New Trends in Geomagnetism, Castle of Bechyne, South Bohemia, Czechoslovakia, September 24–29, 1990, (oral)

úplný zoznam publikácií (PDF)

IAVCEI/IASPEI and ESC workshop 2019, Tenerife
Roques de Garcia, v pozadí sopka Teide

IAVCEI/IASPEI and ESC workshop 2018, La Reunion
sopka Piton de la Fournaise


summit cratersESC IASPEI/IAVCEI 2016 workshop Stromboli
(strombolská aktivita vo vrcholových kráteroch)

Cape Town
35IGC, aug 2016, Cape Town, Južná Afrika
(Kapské mesto, pohľad zo Stolovej hory)

pahoehoe lava
SEG-AGU júl 2016, Hilo, Havajské ostrovy
(pahoehoe láva z krátera PuuOo, Kilauea)

LeitrimIAVCEI/IASPEI 2014, Leitrim, Írsko
(zámok Lough Rynn, november 2014)

Santorini 2014
VOLAND 2014, ostrov Santorini, Grécko

Fiji 2014
SVEOCC 2014, Nadi, Fidži, Južný Pacifik
(ostrov Castaway)

Madrid 2013
IAMG 2013, Madrid, španielsko

Salina 2011
ESC 2011, Salina, Liparské ostrovy, Taliansko

Lanzarote 2009
Lanzarote, Kanárske ostrovy, 2009
(Los Hervideros)

Crete 2008 Elafonisi
IAG 2008, Chania, Kréta, Grécko (Elafonisi)

malta 2008WSEAS 2008, Malta

Lanzarote 2003
Lanzarote, Kanárske ostrovy, 2003
(pláž El Golfo)

CGU 1993, Banff, Alberta, Kanada
(Valley of Ten Peaks)