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      25 Oláh, L. & Tanaka, H. K. M. (2021). Muography of magma intrusion beneath the active craters of Sakurajima volcano. In: L. Oláh, H. K. M. Tanaka, D. Varga (Eds.), Muography: Exploring Earth's Subsurface with Elementary Particles, Geophysical Monograph Series 270. Washington, DC: American Geophysical Union. This volume.

      26 Parasnis, D. S. (1997). Principles of Applied Geophysics, 5th edition. Springer Netherlands, 456 pp.

      27 Plouff, D. (1976). Gravity and magnetic fields of polygonal prisms and application to magnetic terrain corrections. Geophysics, 41(4), 727–741. https://doi.org/10.1190/1.1440645

      28 Portal, A., Gailler, L.‐S., Labazuy, P., & Lénat, J.‐F. (2016). Geophysical imaging of the inner structure of a lava dome and its environment through gravimetry and magnetism. Journal of Volcanology and Geothermal Research, 320, 88–99. https://doi.org/10.1016/j.jvolgeores.2016.04.012

      29 Rosas‐Carbajal, M., Jourde, K., Marteau, J., Deroussi, S., Komorowski, J.‐C., & Gibert, D. (2017). Three‐dimensional density structure of La Soufrière de Guadeloupe lava dome from simultaneous muon radiographies and gravity data. Geophysical Research Letters, 44, 6743–6751. https://doi.org/10.1002/2017GL074285

      30 Roy, M., Lewis, M., Johnson, A., George, N., Rowe, C., & Guardincerri, E. (2018). Inferring shallow subsurface density structure from surface and underground gravity measurements: Calibrating models for relatively undeformed volcanic strata at the Jemez Volcanic Field, New Mexico, USA. Pure Applied Geophysics 175, 1003–1018. https://doi.org/10.1007/s00024‐017‐1742‐4

      31 Saracino, G., Ambrosino, F., Bonechi, L., Bross, A., Cimmino, L., Ciaranfi, R., D’Alessandro, R. (2017). The MURAVES muon telescope: technology and expected performances. Annals of Geophysics, 60, 1, S0103. https://doi.org/10.4401/ag‐7378

      32 Scampoli, P., Nishiyama, R., Ariga, A., Ariga, T., Ereditato, A., Lechmann, A., Mair, D., Pistillo, C., Schlunegger, F. & Vladymyrov, M. (2021). Exploration of Hidden Topography Beneath Alpine Glaciers with Muography. In: L. Oláh, H. K. M. Tanaka, D. Varga (Eds.), Muography: Exploring Earth’s Subsurface with Elementary Particles, Geophysical Monograph Series 270. Washington, DC: American Geophysical Union. This volume.

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      34 Schouten, D., Furseth, D. & van Nieuwkoop, J. (2021). Muon tomography for underground resources. In: L. Oláh, H. K. M. Tanaka, D. Varga (Eds.), Muography: Exploring Earth's Subsurface with Elementary Particles, Geophysical Monograph Series 270. Washington, DC: American Geophysical Union. This volume.

      35 Seigel, H. O., Brcic, I. & Mistry, P. (1993). A Guide to High Precision Land Gravimeter Surveys, in Scintrex Ltd., Concord, Ont., Canada.

      36 Si, H. (2015). TetGen, a delaunay‐based quality tetrahedral mesh generator. ACM Transactions on Mathematical Software, 41(2), https://doi.org/10.1145/2629697

      37 Tanaka, H. K. M. (2021). Principles of muography and pioneering works. In: L. Oláh, H. K. M. Tanaka, D. Varga (Eds.), Muography: Exploring Earth's Subsurface with Elementary Particles, Geophysical Monograph Series 270. Washington, DC: American Geophysical Union. This volume.

      38 Tanaka, H. K. M., Nakano, T., Takahashi, S., Yoshida, J., Ohshima, H., Maekawa, T., et al. (2007). Imaging the conduit size of the dome with cosmic‐ray muons: The structure beneath Showa‐Shinzan Lava Dome, Japan. Geophysical Research Letters, 34, L22311. https://doi.org/10.1029/2007GL031389

      39 Tanaka, H. K. M., Taira, H., Uchida, T., Tanaka, M., Takeo, M., Ohminato, T., et al. (2010). Three‐dimensional computational axial tomography scan of a volcano with cosmic ray muon radiography. Journal of Geophysical Research, 115, B12332. https://doi.org/10.1029/2010JB007677

      40 Tarantola, A. (2005). Inverse Problem Theory and Methods for Model Parameter Estimation. Philadelphia: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9780898717921

      41 Thompson, L. F., Gluyas, J. G., Klinger, J., Kudryavtsev, V. A., Lincoln, D. L., Woodward, D., et al. (2021). Muography, a key technology for monitoring carbon geostorage. In: L. Oláh, H. K. M. Tanaka, D. Varga (Eds.), Muography: Exploring Earth's Subsurface with Elementary Particles, Geophysical Monograph Series 270. Washington, DC: American Geophysical Union. This volume.

      42 Tioukov, V., Giudicepietro, F., Macedonio, G., Calvari, S., Di Traglia, F., Fornaciai, A., et al. (2021). Structure of the shallow supply system at Stromboli Volcano through integration of muography, digital elevation models, seismicity, and ground deformation data. In: L. Oláh, H. K. M. Tanaka, D. Varga (Eds.), Muography: Exploring Earth's Subsurface with Elementary Particles, Geophysical Monograph Series 270. Washington, DC: American Geophysical Union. This volume.

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      SUPPLEMENTAL INFORMATION

      S3.1. ANALYTICAL FORMULA FOR THE GRAVITATIONAL EFFECT

      In the supplemental information, the analytical formula for the gravitational attraction of a rectangular prism is presented. They are necessary to calculate the gravity parts of the design matrix (equation 3.7) and the gravitational attraction by the topography (Δg _terrain in equation 3.5).

The analytical integration of equation 3.7 is complicated. The problem is rather simplified by assuming that the observer is located at the origin of the Cartesian coordinate system (Figure S3.1). Equation 3.7 then is reduced to the form

      (S3.1)

      The analytical solution is provided by many authors (e.g., Nagy, 1966; Plouff, 1977). Especially among them, Plouff’s solution is rather simple:

      (S3.2)Скачать книгу