本研究利用台灣全島磁力普測的磁力異常資料推求地下磁性構造。為嘗試解決磁力逆推計算上長久以來遇到的「非唯一解」問題，結合速度構造與磁性構造進行轉換，以期得到一符合速度與磁感率兩種不同物理性質的結果。使用不同礦岩所具有的速度特性，進行分類與給定磁感率而得一符合速度構造之磁感率模型。轉換而得的磁感率模型做為逆推中參考模型使用。磁力普測的磁力異常資料，經過測點資料重新網格化為5 km * 5 km後進行三維逆推計算。經過三維逆推計算後得到台灣第一個完整且包覆全島的地下磁感率模型。本研究另又利用Magnetic Vector Inversion(MVI)方法分析台灣地區地下磁性構造的分布。藉由綜合逆推計算感應磁化強度與非感應磁化強度，更能反映地下磁性構造的真實情形。比較兩種不同的逆推方法，並選擇較適合台灣的逆推磁感率模型。逆推結果顯示，台灣地區地下磁感率高區分佈位置大多與正磁力異常高值相符合。磁感率高區大致上與火成岩相關，由北至南包含了大屯火山區的岩漿庫、公館及角板山期的火山活動、雲彰古陸向本島的延伸、海岸山脈火山島弧的火成岩或是中央山脈下方高溫的地震稀少帶，都反映了磁感率高區與火成岩的關係。

This study used the island-wide magnetic prospection data to calculate the subsurface magnetic structures in Taiwan. In order to face the difficulty that the uncertainty is often a challenge when underlying structural models are constructed using unitary geophysical data retrieved from field prospections. The velocity-susceptibility model is obtained by given the susceptibility to specific mineral/rock which is determined by the velocity characteristics. Then, the velocity-susceptibility model is imported as a reference model during the 3-D inversion calculation. The magnetic anomaly data are reprocessed into 5 km x 5 km x 5 km grid data to calculate the subsurface susceptibility model in Taiwan. Another inversion method “Magnetic Vector Inversion” (MVI) method is used in this study. This method combines two magnetizations, induction magnetization and non-induction magnetization, in to the calculation. Therefore, the result will better conform to reality that the igneous rock usually has remanence. Compared the results of the two methods and find out which is suitable for discussing the magnetic structure in Taiwan. The result shows that most of the high susceptibility areas are fitting with the area haveing high positive magnetic anomaly. High susceptibility are roughly agreed with the existence of igneous rock such as the magma chamber of Tatun Volcano Group, the eruption of volcano during Gongguan and Jiaobanshan series, the Yun-Chang Paleo-High from the Penghu ridge, the volcanic arc in the eastern Taiwan and the aseismicity region in the southern Central mountain range. The calculation results are comparable to the known structures in Taiwan.

Barton, P. J., The relationship between seismic velocity and density in the continental crust - a useful constraint?, Geophys. J. R. astr. Soc., 87, 195-208, doi: 10.1111/j.1365-246X.1986.tb04553.x, 1986.
Bertrand, E. A., Unsworth, M. J., Chiang, C. W., Chen, C. S., Chen, C. C., Wu, F. T., Türkoğlu, E., Hsu, H. L., and Graham, J. H., Magnetotelluric imaging beneath the Taiwan orogen: An arc-continent collision, J. Geophys. Res., 117, B01402, doi:10.1029/2011JB008688, 2012.
Castagna, J. P., Batzle, M. L., and Kan, T. K., Rock physics: The link between rock properties and AVO response, in Offset-Dependent Reflectivity: Theory and Practice of AVO Analysis, Invest, Geophys. Ser., 8, edited by J. P. Castagna and M. M. Backus, 135-171, Soc. of Explor. Geophys., Tulsa, Okla., doi:10.1190/1.9781560802624, 1993.
Chang, C. H., Wu, Y. M., Chen, D. Y., Shin, T. C., Chin, T. L., and Chang, W. Y., An examination of telemetry delay in the Central Weather Bureau seismic network, Terr. Atmos. Oceanic Sci., 23, 3, 261-268, doi:10.3319/TAO.2011.11.29.01(T), 2012.
Chang, C. P., Angelier, J., and Huang, C. Y., Origin and evolution of a me´lange: the active plate boundary and suture zone of the Longitudinal Valley, Taiwan, Tectonophysics, 325, 43-62, 2000.
Chang, S. L., and Hu, C. C., Gravity and magnetic anomalies of Taiwan and their tectonic implication, Mem. Geol. Soc. China., 4, 121-142, 1981.
Chen, C. H., Liu, J. Y., Yen, H. Y., Zeng, X., and Yeh, Y. H., Changes of Geomagnetic Total Field and Occurrences of Earthquakes in Taiwan, Terr. Atmos. Ocean., 15, 361-370, 2004.
Chen, K. J., Wang, C. M., Hsu, S. K., and Liang, W. T., Geomagnetic basement relief of the northern Taiwan area, Terr. Atmo. Ocean. Sci., 12, 441-460, 2001.
Chia, H. S., and Pan, Y. S., The magnetic model study of the northwest offshore of Taiwan, Prtroleum Geol. Taiwan, 12, 131-144, 1975.
Chou, H. C., Kuo, B. Y., Chiao, L. Y., Zhao, D., and Hung, S. H., Tomography of the westernmost Ryukyu subduction zone and the serpentinization of the fore-arc mantle, J. Geophys. Res., 114, B12301, doi:10.1029/2008JB006192, 2009.
Christensen, N. I., and Mooney, W. D., Poisson's ratio and crustal seismology, J. of Geophys. Res.: Solid Earth, 101, B2, 3139-3156, 1996.
Dunlop, D. J., Özdemir, Ö., and Costanzo-Alvarez, V., Magnetic properties of rocks of the Kapuskasing uplift (Ontario, Canada) and origin of long-wavelength magnetic anomalies, Geophysical Journal International, 183, 2, 645-658, 2010.
Elbra, T., Kontny, A., Pesonen, L. J., Schleifer, N., and Schell, C., Petrophysical and paleomagnetic data of drill cores from the Bosumtwi impact structure, Ghana, Meteoritics and Planetary Science, 42, 4-5, 829-838, 2007.
Ellis, R. G., de Wet, B., and MacLeod, I. N., Inversion of magnetic data from remanent and induced sources, ASEG Extended Abstracts, 1-4, 2012.
Finlay, C. C., Maus, S., Beggan, C. D., Bondar, T. N., Chambodut, A., Chernova, T. A., Chulliat, A., Golovkov, V. P., Hamilton, B., Hamoudi, M., Holme, R., Hulot, G., Kuang, W., Langlais, B., Lesur, V., Lowes, F. J., Lühr, H., Macmillan, S., Mandea, M., McLean, S., Manoj, C., Menvielle, M., Michaelis, I., Olsen, N., Rauberg, J., Rother, M., Sabaka, T. J., Tangborn, A., Tøffner-Clausen, L., Thébault, E., Thomson, A. W. P., Wardinski, I., Wei, Z., and Zvereva, T. I., International geomagnetic reference field: the eleventh generation, Geophysical Journal International, 183, 3, 1216-1230, 2010.
Horng, C. S., and Chen, K. H., Complicated magnetic mineral assemblages in marine sediments offshore of southwestern Taiwan: Possible influence of methane flux on the early diagenetic process, Terr. Atmos. Ocean. Sci., 17, 1009-1026, 2006.
Horng, C. S., Huh, C. A., Chen, K. H., Lin, C. H., Shea, K. S., and Hsiung, K. H., Pyrrhotite as a tracer for denudation of the Taiwan orogeny, Geochem. Geophys. Geosyst., 13, Q08Z47, doi:10.1029/2012GC004195, 2012.
Horng, C. S., Huh, C. A., Magnetic properties as tracers for source-to-sink dispersal of sediments: A case study in the Taiwan Strait, Earth Planet. Sci. Lett., 309, 141-152, doi:10.1016/j.epsl.2011.07.002, 2011.
Hsiao, P. T., and Hu, C. C., Geomagnetic study of the Changhua plain, Taiwan, Petroleuml. Geol. Taiwan, 15, 241-254, 1978.
Hsiao, P. T., and Hu, C. C., Geomagnetic study of the Changhua plain, Taiwan, Petroleuml. Geol. Taiwan, 15, 241-254, 1978.
Hsieh, H. H., Chen, C. H., Lin, P. Y., and Yen, H. Y., Curie point depth from spectral analysis of magnetic data in Taiwan, Journal of Asian Earth Sciences, 90, 26-33, 2014.
Hsieh, S. H., and Hu, C. C., Gravity and magnetic studies of Taiwan, Petrol. Geol. Taiwan, 10, 283-321, 1972.
Hsu, S. K., Liu, C. S., Shyu, C. T., Liu, S. Y., Sibuet, J. C., Lallemand, S., Wang, C., and Reed, D., New gravity and magnetic anomaly maps in the Taiwan-Luzon region and their preliminary interpretation, Terr. Atmo. Ocean. Sci., 9, 509-532, 1998.
Hu, C. C., Gravity and magnetic studies of Taoyuan and Hsinchu area, Bull. Geophy., Natl. Central Univ., Taiwan, 21, 49-60, 1981.
Hu, C. C., and Chen, W. S., Gravity and magnetic anomalies of eastern Taiwan, Mem. Geol. Soc. China., 7, 341-352, 1986.
Hu, J. C., Yu, S. B., Angelier, J., and Chu, H. T., Active deformation of Taiwan from GPS measurements and numerical simulations, J. of Geophys. Res., 106, B2, 2265-2280, 2001.
Huang, H. H., Wu, Y. M., Song, X., Chang, C. H., Lee, S. J., Chang, T. M., and Hsieh, H. H., Joint Vp and Vs tomography of Taiwan: Implications for subduction-collision orogeny, Earth and Planet. Sci. L., 392, 177-191, http://dx.doi.org/10.1016/j.epsl.2014.02.026, 2014.
Hyndman, R. D., Poisson’s ratio in the oceanic crust—A review, Tectonophysics, 59, 321-333, doi:10.1016/0040-1951(79)90053-2, 1979.
Ishihara, K., Approximate forms of wave equations for water-saturated porous materials and related dynamic modulus, Soil and Foundations, 10, 10-38, 1970.
Jiang, W. T., Chen, J. C., Huang, B. J., Chen, C. J., Lee, Y. T., Huang, P. R., Lung, C. C., and Huang, S. W., Mineralogy and physical properties of cored sediments from the gas hydrate potential area of offshore southwestern Taiwan, Terr. Atmos. Ocean. Sci., 17, 981-1007, 2006.
Jizba, D. L., Mechanical and acoustical properties of sandstones and shales, PhD dissertation, 260 pp., Stanford Univ., Stanford, Calif, 1991.
Kim, K. H., Chiu, J. M., Pujol, J., Chen, K. C., Huang, B. S., Yeh, Y. H., and Shen, P., Three-dimensional VP and VS structural model associated with the active subduction and collision tectonics in the Taiwan region, Geophys. J. Int., 162, 204220, doi:10.1111/j.1365-246X.2005.02657.x, 2005.
Konstantinou, K. I., Lin, C. H., and Liang, W. T., Seismicity characteristics of a potentially active Quarternary volcano: the Tatun Volcano Group, northern Taiwan, J. Volcanology Geothermal Research, 160, Issues 3-4, 300-318, 2007.
Kuo-Chen, H., Wu, F. T., Roecker, S. W., Three-dimensional P velocity structures of the lithosphere beneath Taiwan from the analysis of TAIGER and related seismic data sets, J. Geophys. Res., 117, B06306, doi:10.1029/2011JB009108, 2012a.
Kuo-Chen, H., Wu, F. T., Jenkins, D. M., Mechie, J., Roecker, S. W., Wang, C. Y., and Huang, B. S., Seismic evidence for the α-β quartz transition beneath Taiwan from Vp/Vs tomography, Geophys. Res. Lett., 39, L22302, doi:10.1029/2012GL053649, 2012b.
Langel, R. A., and Hinze, R. A., The magnetic field of the earth’s lithosphere, Cambridge Uni. Pres, America, 1988.
Lee, C. R., Cheng, W. T., Preliminary heat flow measurements in Taiwan: presented at the Fouth Circum-Pacific Energy and Mineral Resources Conference, Singapore, 1986.
Li, Y. G., Oldenburg, D. W., 3-D Inversion of magnetic data, Geophysics, 61, 2, 394-408, 1996.
Liang, C., Song, X., and Huang, J., Tomographic inversion of Pn travel times in China, J. Geophys. Res., 109, B11304, http://dx.doi.org/10.1029/2003JB002789, 2004.
Lin, A. T., and Watts, A. B., Origin of the West Taiwan Basin by orogenic loading and flexure of a rifted continental margin, J. Geophys.Res., 107, B9, 2185, doi:10.1029/2001JB000669, 2002.
Lin, C. H., Thermal modeling of continental subduction and exhumation constrained by heat flow and seismicity in Taiwan, Tectonophysics, 324, 189-201, 2000.
Liu, C. S., Liu, S. Y., Kuo, B. Y., Lundberg, N., and Reed, D. L., Characteristics of the gravity and magnetic anomalies off southern Taiwan, Acta Geologica Taiwanica Science Reports of the National Taiwan University, 30, 123-130, 1992.
MacLeod, I. N., and Elli, R. G., Magnetic vector inversion, a simple approach to the challenge of varying direction of rock magnetization, ASEG Extended Abstracts, 1-6, 2013.
Matsumoto, Y., Ishikawa, M., Terabayashi, M., and Arima, M., Simultaneous measurements of compressional wave and shear wave velocities, Poisson’s ratio, and Vp/Vs under deep crustal pressure and temperature conditions: Example of silicified politic schist from Ryoke belt, Southwest Japan, Isl. Arc, 19, 30-39, doi:10.1111/j.1440-1738.2009.00695.x, 2010.
MyGeosoft, What are the three outputs from a magnetization vector inversion in VOXI?, https://my.geosoft.com/, 2014.
Nafe, J. E., and Drake, C.L., Variation with depth in shallow and deep water marine sediments of porosity, density and the velocities of compressional and shear waves, Geophysics, 22, 523-552, doi:10.1190/1.1438386, 1957.
Parker, R. L., Statistics for the One-Norm Mistfit Measure, J. Geophys. Res., 85, B8, 4429-4430, 1980.
Rau, R. J., and Wu, F. T., Tomographic imaging of lithospheric structures under Taiwan, Earth Planet. Sci. Lett., 133, 517-532, doi:10.1016/0012-821X(95)00076-O, 1995.
Roecker, S. W., Yeh, Y. H., and Tsai, Y. B., Three-dimensional P and S wave velocity structures beneath Taiwan deep structure beneath an arc-continent collision, J. Geophys. Res., 92, 10,547-10,570, 1987.
Romanowicz, B., Global mantle tomography: progress status in the past 10 years, Annu. Rev., Earth Planet. Sci., 31, 303-328, 2003.
Shyu, C. T., and Chiao, L. Y., Trends of magnetic anomalies in the immediate offshore area of the I-Lan Plain, Taiwan, Acta. Oceanogr. Taiwanica, 14, 16-25, 1983.
Talwani, M., Worzel, J. L., and Landisman, M., Rapid gravity computations for two‐dimensional bodies with application to the Mendocino submarine fracture zone, Journal of geophysical research, 64, 1, 49-59, 1959.
Telford, W. M., Geldart, L. P., and Sheriff, R. E., Applied geophysics, 1, Cambridge university press, 1990.
Tong, L. T., Shoung, O., Guo, T. R., Lee, C. R., Hu, K. H., Lee, C. L., and Wang, C. J., Insight into the Geothermal Structure in Chingshui, Ilan, Taiwan, Terr. Atmos. Ocean. Sci., 19, 413-424, doi: 10.3319/TAO.2008.19.4.413(T) , 2008.
Tontini, F. C., Rapid interactive modeling of 3D magnetic anomalies, Computers & Geosciences, 48, 308-315, 2012.
Walck, M. C., Three-Dimensional Vp/Vs Variation for the Coso Region, California, J. Geophys. Res., 93, 2047-2052, 1988.
Wang, C., and Hilde, T. W. C., Geomagnetic interpretation of the geologic structure in the northeast offshore region of Taiwan, Acta Oreanogr. Taiwanica, 3, 141-156, 1973.
Wang, C., Huang, C. P., Ke, L. Y., Chien, W. J., Hsu, S. K., Shyu, C. T., Cheng, W. B., Lee, C. S., and Teng, L. S., Formation of the Taiwan island as a solitary wave the Eurasian Continental Plate margin: magnetic and seismological evidence, Terr. Atmo. Ocean. Sci., 13, 339-354, 2002.
Wang, Y. J., Ma, K. F., Mouthereau, F., and Eberhart-Phillips, D., Three-dimensional Qp- and Qs-tomography beneath Taiwan orogenic belt: implications for tectonic and thermal structure, Geophys. J. Int., 180, 891-910, 2010.
Won, I. J., and Bevis, M., Computing the gravitational and magnetic anomalies due to a polygon: Algorithms and Fortran subroutines, Geophysics, 52, 2, 232-238, 1987.
Wu, Y. M., Chang, C. H., Zhao, L., Shyu, J. B. H., Chen, Y. G., Sieh, K., and Avouac, J. P., Seismic tomography of Taiwan: Improved constraints from a dense network of strong-motion stations, J. Geophys. Res., 112, B08312, doi:10.1029/2007JB004983, 2007.
Wu, Y. M., Shyu, J. B. H., Chang, C. H., Zhao, L., Nakamura, M., and Hsu, S. K., Improved seismic tomography offshore northeastern Taiwan: implications for sub-duction and collision processes between Taiwan and the southernmost Ryukyu, Geophys. J. Int., 178, 1042-1054, 2009.
Yeh, Y. H., Tsai, Y. B., and Teng, T. L., Investigations of geomagnetic total intensity in Taiwan from 1979 to 1981, Bull. Inst. Earth Sci., Academia Sinica, 1, 157-188, 1981.
Yen, H. Y., and Yeh, Y. H., Two-dimensional crustal structures of Taiwan from gravity data, TECTONICS, 17, 1, 104-111, 1998.
Yen, H. Y., Chen, C. H., Yeh, Y. H., Liu, J. Y., Lin, C. R., and Tsai, Y. B., Geomagnetic fluctuations during the 1999 Chi-Chi earthquake in Taiwan, Earth Planets Space, 56, 39-45, 2004.
Yen, H. Y., Chen, C. H., Hsieh, H. H., Lin, C. R., Yeh, Y. H., Tsai, Y. B., Liu, J. Y., Yu, G. K., Chen, Y. R., Magnetic Survey of Taiwan and Its Preliminary Interpretations, Terr. Atmos. Ocean. Sci., 20, 309-314, doi: 417 10.3319/TAO.2008.04.08.01(T), 2009.
Yen, H. Y., and Hsieh, H. H., A Study on the Compatibility of 3-D Seismic Velocity Structures with Gravity Data of Taiwan , Terr. Atmos. Ocean. Sci., 21, 6, 897-904, doi: 10.3319/TAO.2010.03.03.01(T), 2010.
Yen, H.Y., Lo, Y. T., Yeh, Y. L., Hsieh, H. H., Chang, W.Y., Chen, C. H., Chen, C. R., and Shih, M. H., The Crustal Thickness of the Philippine Sea Plate Derived from Gravity Data, Terr. Atmos. Ocean. Sci., 26, 3, 253-259, doi: 10.3319/TAO.2014.11.17.01(T), 2015.
Yen, T. P., The metamorphic belts within the Tananao schist terrain of Taiwan, Proc. Geol. Soc. China, 6, 72-74, 1963.
Yu, S. B., and Tsai, Y. B., Geomagnetic anomalies of the Ilan plain, Taiwan, Prtroleum Geol. Taiwan, 16, 19-27, 1979.
Yu, S. B., and Tsai, Y. B., Geomagnetic investigations in the Pongtung plain, Taiwan, Bull. Inst. Earth Sci., Academia Sinica, 1, 189-208, 1981.
工研院，「台灣北部火山活動觀測研究」臺灣北部陸海域地區空中磁力探測(1/2)期末報告，2014。
工研院，台灣北部火成岩體及地質構造空中地球物理探測(2/2)計畫報告，2013。
王正松，臺灣南部地區磁力異常與地質構造相關性之研究，學術研究計畫成果報告，育達商業科技大學出版，2011。
何春蓀，台灣地質概論(二版三刷)，經濟部中央地質調查所，144 頁，1997。
李長之，台灣第三紀地層之油氣探勘，經濟部研究發展報告，編號85008，1996。
林朝棨和周瑞燉，台灣地質，87-89頁，1978。
孫習之，The Cenozoic tectonic evolution of offshore Taiwan, Energy, 10, 3-4, 421-432，1985.
張毅，「三維重磁異常約束反演方法在三峽地區地殼結構中的應用」，中國地質大學，博士論文，2011。
陳文山，臺灣地質概論，中華民國地質學會出版，2016。
陳界宏，「台灣地區全磁場時空變化之研究(1989-2004 年)」，國立中央大學，博士論文，2005。
陳培源，台灣地質，台灣省應用地質技師公會出版，2008。
黃亦璿，「嘉義地區磁性構造研究」，國立中正大學，碩士論文，2017。
黃胤年，「地磁觀測法（一）」，台灣電信技術季刊，第8卷，第1期，1 頁，1965a。
黃胤年，「地磁觀測法（二）」，台灣電信技術季刊，第8卷，第2期，1 頁，1965b。
黃胤年，「崙坪地磁變化之研究」，工程月刊，第39 卷，第9期 ，31 頁，1966。
韓仲穎，「 台灣中南部二維密度構造之模擬」，國立中央大學，碩士論文， 2013。