Optimized inversion of Chang’e-2 gamma-ray spectrum data into heat production rate for thermal evolution study: Imbrium Basin as an example

Zhenghe Li , Yuyan Zhao , Xiaodan Tang , Zhiguo Meng

Geoscience Frontiers ›› 2026, Vol. 17 ›› Issue (2) : 102254

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Geoscience Frontiers ›› 2026, Vol. 17 ›› Issue (2) :102254 DOI: 10.1016/j.gsf.2026.102254
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Optimized inversion of Chang’e-2 gamma-ray spectrum data into heat production rate for thermal evolution study: Imbrium Basin as an example
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Abstract

The lunar surface element distribution obtained from Chang’e-2 gamma-ray spectrometer has provided new insights into the thermal activity and element migration of the Moon. To further investigate lunar thermal evolution and geological activities, the heat production rate (HPR) distribution was selected as a breakthrough. An optimized inversion method for Chang’e-2 gamma-ray spectrum data, based on multivariate statistical analysis, was developed to effectively reduce the influence of time-varying factors by improving the background estimation and subtraction process. The results validated the utility of HPR for lunar research. The global HPR distribution maps not only provide a reference for assessing the thermal state of the lunar surface, demonstrating that radiogenic heat production can be reliably studied at a global scale, but also enable detailed investigations of regional geological processes. In the Imbrium Basin, HPR clearly reflects the effects of large-scale impact events and subsequent mare volcanic activity. High-HPR materials associated with impact ejecta can be distinguished from the lower-HPR mare basalts. Furthermore, by integrating HPR data with additional geological information, it is possible to assess and partially subdivide the structure of the Imbrium Basin, providing new quantitative insights into its evolution and compositional heterogeneity.

Keywords

Chang’e-2 gamma-ray spectrum / Heat production rate / Heat producing elements / Mare Imbrium / Background subtraction / Thermal evolution

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Zhenghe Li, Yuyan Zhao, Xiaodan Tang, Zhiguo Meng. Optimized inversion of Chang’e-2 gamma-ray spectrum data into heat production rate for thermal evolution study: Imbrium Basin as an example. Geoscience Frontiers, 2026, 17(2): 102254 DOI:10.1016/j.gsf.2026.102254

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CRediT authorship contribution statement

Zhenghe Li: Writing - original draft, Visualization, Software, Formal analysis, Data curation. Yuyan Zhao: Writing - original draft, Resources, Project administration, Investigation, Funding acquisition. Xiaodan Tang: Writing - review & editing, Validation, Supervision, Methodology, Conceptualization. Zhiguo Meng: Formal analysis, Data curation.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgements

This work was supported by the National Key Research and Development Program of China (2021YFA0715104).

Appendix A. Supplementary data

Supplementary data to this article can be found online at https://doi.org/10.1016/j.gsf.2026.102254.

References

[1]

Barker, M.K., Mazarico, E., Neumann, G.A., Zuber, M.T., Haruyama, J., Smith, D.E., 2016. A new lunar digital elevation model from the Lunar Orbiter Laser Altimeter and SELENE Terrain Camera. Icarus 273, 346-355. https://doi.org/10.1016/j.icarus.2015.07.039.

[2]

Barsukov, V.L., Tarasov, L.S., Dmitriev, L.V., Kolesov, G.M., Shevaleevskii, I.D., Garanin, A.V., 1977. The geochemical and petrochemical features of regolith and rocks from Mare Crisium (preliminary data). Geochim. Cosmochim. Acta 8, 1477-1487.

[3]

Chabot, N.L., Peplowski, P.N., Ernst, C.M., Nair, H., Lucks, M., Steele, R.J., Lawrence, D.J., 2021. MEGANE investigations of Phobos and the small body mapping tool. Earth Planets Space 73, 217. https://doi.org/10.1186/s40623-021-01509-x.

[4]

Cimbalnikova, A., Palivcova, M., Frána, J., Mastalka, A., 1977. Chemical composition of crystalline rock fragments from Luna 16 and Luna 20 fines. NASA Spec. Publ. 370, 263-275.

[5]

Cooley, J., Lewis, P., Welch, P., 1967. Application of the fast Fourier transform to computation of Fourier integrals, Fourier series, and convolution integrals. IEEE Trans. Audio Electroacoust. 15, 79-84. https://doi.org/10.1109/tau.1967.1161904.

[6]

Feldman, W.C., Barraclough, B.L., Fuller, K.R., Lawrence, D.J., Maurice, S., Miller, M.C., Prettyman, T.H., Binder, A.B., 1999. The Lunar Prospector gamma-ray and neutron spectrometers. Nucl. Instrum. Methods Phys. Res. A 422, 562-566. https://doi.org/10.1016/s0168-9002(98)00934-6.

[7]

Fortezzo, C.M., Spudis, P.D., Harrel, S.L., 2020. Release of the digital unified global geologic map of the Moon at 1:5,000,000-scale,in:Proc. 51st Lunar and Planetary Science Conference.

[8]

Grimm, R.E., 2013. Geophysical constraints on the lunar Procellarum KREEP Terrane. J. Geophys. Res. Planets 118, 768-778. https://doi.org/10.1029/2012JE004114.

[9]

Hahn, B.C., McLennan, S.M., Klein, E.C., 2011. Martian surface heat production and crustal heat flow from Mars Odyssey Gamma-Ray spectrometry. Geophys. Res. Lett. 38, L14203. https://doi.org/10.1029/2011gl047435.

[10]

Hareyama, M., Fujibayashi, Y., Yamashita, Y., Karouji, Y., Nagaoka, H., Kobayashi, S., Reedy, R.C., Gasnault, O., Forni, O., d’Uston, C., Kim, K.J., Hasebe, N., 2016. Estimation method of planetary fast neutron flux by a Ge gamma-ray spectrometer. Nucl. Instrum. Methods Phys. Res. A 828, 145-155. https://doi.org/10.1016/j.nima.2016.05.045.

[11]

Harrington, T.M., Marshall, J.H., Arnold, J.R., Peterson, L.E., Trombka, J.I., Metzger, A.E., 1974. The Apollo gamma-ray spectrometer. Nucl. Instrum. Methods 118, 401-411. https://doi.org/10.1016/0029-554X(74)90644-2.

[12]

Hiesinger, H., Head, J.W., Wolf, U., Jaumann, R., Neukum, G., 2011. Ages and stratigraphy of lunar mare basalts: A synthesis. Geol. Soc. Am. Spec. Pap. 477, 1-51. https://doi.org/10.1130/2011.2477(01).

[13]

Ji, J., Guo, D., Liu, J., Chen, S., Ling, Z., Ding, X., Han, K., Chen, J., Cheng, W., Zhu, K., Liu, J., Wang, J., Chen, J., Ouyang, Z., 2022. The 1:2,500,000-scale geologic map of the global Moon. Sci. Bull. 67, 1544-1548. https://doi.org/10.1016/j.scib.2022.05.021.

[14]

Jolliff, B.L., Gillis, J.J., Haskin, L.A., Korotev, R.L., Wieczorek, M.A., 2000. Major lunar crustal terranes: Surface expressions and crust-mantle origins. J. Geophys. Res. Planets 105, 4197-4216. https://doi.org/10.1029/1999JE001103.

[15]

Kobayashi, M., Hasebe, N., Miyachi, T., Fujii, M., Shibamura, E., Okudaira, O., Karouji, Y., Hareyama, M., Takashima, T., Kobayashi, S., D’Uston, C., Maurice, S., Yamashita, N., Reedy, R.C., 2013. The Kaguya gamma-ray spectrometer: Instrumentation and in-flight performances. J. Instrum. 8, P04010. https://doi.org/10.1088/1748-0221/8/04/P04010.

[16]

Kobayashi, S., Hasebe, N., Shibamura, E., Okudaira, O., Kobayashi, M., Yamashita, N., Karouji, Y., Hareyama, M., Hayatsu, K., d’Uston, C., Maurice, S., Gasnault, O., Forni, O., Diez, B., Reedy, R.C., Kim, K.J., 2010. Determining the absolute abundances of natural radioactive elements on the lunar surface by the Kaguya gamma-ray spectrometer. Space Sci. Rev. 154, 193-218. https://doi.org/10.1007/s11214-010-9650-2.

[17]

Korotev, R.L., 1997. Some things we can infer about the Moon from the composition of the Apollo 16 regolith. Meteorit. Planet. Sci. 32, 447-478. https://doi.org/10.1111/j.1945-5100.1997.tb01291.x.

[18]

Korotev, R.L., Gillis, J.J., 2001. A new look at the Apollo 11 regolith and KREEP. J. Geophys. Res. Planets 106, 12339-12353. https://doi.org/10.1029/2000JE001336.

[19]

Korotev, R.L., Jolliff, B.L., Zeigler, R.A., Gillis, J.J., Haskin, L.A., 2003. Feldspathic lunar meteorites and their implications for compositional remote sensing of the lunar surface and the composition of the lunar crust. Geochim. Cosmochim. Acta 67, 4895-4923. https://doi.org/10.1016/j.gca.2003.08.001.

[20]

Korotev, R.L., Jolliff, B.L., Zeigler, R.A., Seddio, S.M., Haskin, L.A., 2011. Apollo 12 revisited. Geochim. Cosmochim. Acta 75, 1540-1573. https://doi.org/10.1016/j.gca.2010.12.018.

[21]

Langseth, M. G., Keihm, S. J., and Peters, K., 1976. Revised lunar heat-flow values. In: Proc. Lunar and Planetary Science Conference 7, 3143-3171. https://ui.adsabs.harvard.edu/abs/1976LPSC....7.3143L.

[22]

Laul, J.C., Schmitt, R.A., 1974. Chemical composition of boulder-2 rocks and soils, Apollo 17, station 2. Earth Planet. Sci. Lett. 23, 206-219. https://doi.org/10.1016/0012-821X(74)90195-2.

[23]

Lawrence, D.J., Feldman, W.C., Barraclough, B.L., Binder, A.B., Elphic, R.C., Maurice, S., Miller, M.C., Prettyman, T.H., 1999. High resolution measurements of absolute thorium abundances on the lunar surface. Geophys. Res. Lett. 26, 2681-2684. https://doi.org/10.1029/1999gl008361.

[24]

Lawrence, D.J., Feldman, W.C., Elphic, R.C., Little, R.C., Prettyman, T.H., Maurice, S., Lucey, P.G., Binder, A.B., 2002. Iron abundances on the lunar surface as measured by the Lunar Prospector gamma-ray and neutron spectrometers. J. Geophys. Res. Planets 107 (E12), 5130. https://doi.org/10.1029/2001je001530.

[25]

Li, C., Hu, H., Yang, M.-F., Liu, J., Zhou, Q., Ren, X., Liu, B., Liu, D., Zeng, X., Zuo, W., Zhang, G., Zhang, H., Yang, S., Wang, Q., Deng, X., Gao, X., Su, Y., Wen, W., Ouyang, Z., 2024. Nature of the lunar far-side samples returned by the Chang’E-6 mission. Natl. Sci. Rev. 11, nwae328. https://doi.org/10.1093/nsr/nwae328.

[26]

Li, X., 2016. Data Processing and Global Radioactive Elements Mapping of the Moon based on Cheng’E-2 Gamma Ray Spectrum. Ph.D. thesis, Chengdu University of Technology, Chengdu, China.

[27]

Long, B., Feng, T., Su, C., Wu, R., Pang, L., Liu, J., 2013. A self-adaptive method for the clipping of scatter background of c spectrum. Nuclear Electronics and Detection Technology 10, 1293-1296 https://doi.org/10.3969/j.issn.0258-0934.2013.10.031.in Chinese with English abstract).

[28]

Loper, D.E., Werner, C.L., 2002. On lunar asymmetries 1. Tilted convection and crustal asymmetry. J. Geophys. Res. Planets 107, E6. https://doi.org/10.1029/2000JE001441.

[29]

Ma, T., Chang, J., Zhang, N., Jian, W., Cai, M.S., Gong, Y.Z., Tang, H.S., Zhang, R.J., Wang, N.S., Yu, M., Mao, J.P., Hu, Y.M., Xu, A.A., 2013. Gamma-ray spectrometer onboard Chang’E-2. Nucl. Instrum. Methods Phys. Res. A 726, 113-115. https://doi.org/10.1016/j.nima.2013.05.162.

[30]

Mahalanobis, P.C., 1936. On the generalised distance in statistics. Proc. Natl. Inst. Sci. India 2, 49-55.

[31]

McKay, D.S., Heiken, G., Basu, A., Blanford, G., Simon, S., Reedy, R., French, B.M., Papike, J., 1991. The lunar regolith. In: Heiken G., Vaniman D., French B.M. (Eds.), Lunar sourcebook: A User’s Guide to the Moon. Cambridge University Press, Cambridge, UK, pp. 285-356.

[32]

McKay, G., Wiesmann, H., Bansal, B., 1979. The Kreep-Magma Ocean Connection. In: Lunar Planet. Sci. Conf. 10, 804-806.

[33]

Meng, Z., Hu, S., Wang, T., Li, C., Cai, Z., Ping, J., 2018. Passive microwave probing mare basalts in Mare Imbrium using CE-2 CELMS data. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 11, 3097-3104. https://doi.org/10.1109/jstars.2018.2845417.

[34]

Morota, T., Haruyama, J., Honda, C., Ohtake, M., Yokota, Y., Kimura, J., Matsunaga, T., Ogawa, Y., Hirata, N., Demura, H., Iwasaki, A., Miyamoto, H., Nakamura, R., Takeda, H., Ishihara, Y., Sasaki, S., 2009. Mare volcanism in the lunar farside Moscoviense region: Implication for lateral variation in magma production of the Moon. Geophys. Res. Lett. 36, L21202. https://doi.org/10.1029/2009gl040472.

[35]

Prettyman, T.H., Hagerty, J.J., Elphic, R.C., Feldman, W.C., Lawrence, D.J., McKinney, G.W., Vaniman, D.T., 2006. Elemental composition of the lunar surface: Analysis of gamma ray spectroscopy data from Lunar Prospector. J. Geophys. Res. Planets 111, E12007. https://doi.org/10.1029/2005JE002656.

[36]

Rybach, L., Buntebarth, G., 1984. The variation of heat generation, density and seismic velocity with rock type in the continental lithosphere. Tectonophysics 103, 335-344. https://doi.org/10.1016/0040-1951(84)90095-7.

[37]

Scholten, F., Oberst, J., Matz, K.D., Roatsch, T., Waehlisch, M., Speyerer, E.J., Robinson, M.S., 2012. GLD100: The near-global lunar 100 m raster DTM from LROC WAC stereo image data. J. Geophys. Res. Planets 117, E00H17. https://doi.org/10.1029/2011je003926.

[38]

Siegler, M.A., Smrekar, S.E., 2014. Lunar heat flow: Regional prospective of the Apollo landing sites. J. Geophys. Res. Planets 119, 47-63. https://doi.org/10.1002/2013je004453.

[39]

Snyder, G.A., Taylor, L.A., Neal, C.R., 1992. A chemical model for generating the sources of mare basalts: Combined equilibrium and fractional crystallization of the lunar magmasphere. Geochim. Cosmochim. Acta 56, 3809-3823. https://doi.org/10.1016/0016-7037(92)90172-F.

[40]

Spudis, P., 2005. The Geology of Multi-Ring Impact Basins. Cambridge University Press, Cambridge, UK, p. 277. https://doi.org/10.1017/CBO9780511564581.

[41]

Spudis, P.D., Hawke, B.R., Lucey, P.G., 1988. Materials and formation of the Imbrium basin. Proc. Lunar Planet. Sci. Conf. 18, 155-168.

[42]

Taguchi, M., Morota, T., Kato, S., 2017. Lateral heterogeneity of lunar volcanic activity according to volumes of mare basalts in the farside basins. J. Geophys. Res. Planets 122, 1505-1521. https://doi.org/10.1002/2016je005246.

[43]

The, Apollo 15 Preliminary Examination Team, 1972. The Apollo 15 lunar samples: A preliminary description. Science 175, 363-375. https://doi.org/10.1126/science.175.4020.363.

[44]

Warren, P.H., Wasson, J.T., 1979. The origin of KREEP. Rev. Geophys. 17, 73-88. https://doi.org/10.1029/RG017i001p00073.

[45]

Wasson, J.T., Warren, P.H., 1980. Contribution of the mantle to the lunar asymmetry. Icarus 44, 752-771. https://doi.org/10.1016/0019-1035(80)90142-6.

[46]

Wieczorek, M.A., Neumann, G.A., Nimmo, F., Kiefer, W.S., Taylor, G.J., Melosh, H.J., Phillips, R.J., Solomon, S.C., Andrews-Hanna, J.C., Asmar, S.W., Konopliv, A.S., Lemoine, F.G., Smith, D.E., Watkins, M.M., Williams, J.G., Zuber, M.T., 2013. The crust of the Moon as seen by GRAIL. Science 339, 671-675. https://doi.org/10.1126/science.1231530.

[47]

Wieczorek, M.A., Zuber, M.T., Phillips, R.J., 2001. The role of magma buoyancy on the eruption of lunar basalts. Earth Planet. Sci. Lett. 185, 71-83. https://doi.org/10.1016/s0012-821x(00)00355-1.

[48]

Wilhelms, D.E., 1970. Summary of lunar stratigraphy - telescopic observations. U.S. Geological Survey Professional Paper 599-F, Washington, D.C., U.S.A., 47. https://doi.org/10.3133/pp599F.

[49]

Zhang, W., Zhao, B., Lou, X., 2020. Moon’s subsurface heat flow mapping. Acta Geophys. 68, 577-596. https://doi.org/10.1007/s11600-019-00397-w.

[50]

Zhao, J., Chen, S., Jiang, Y., Gan, Y., 2015. Application of SNIP method in data processing of lunar gamma spectrum. New Technology and New Products of China 2, 9-10 https://doi.org/10.13612/j.cnki.cntp.2015.02.009.in Chinese with English abstract).

[51]

Zhu, M., Ma, T., Chang, J., 2010. Chang’E-1 gamma ray spectrometer and preliminary radioactive results on the lunar surface. Planet. Space Sci. 58, 1547-1554. https://doi.org/10.1016/j.pss.2010.07.022.

[52]

Zong, K., Wang, Z., Li, J., He, Q., Li, Y., Becker, H., Zhang, W., Hu, Z., He, T., Cao, K., She, Z., Wu, X., Xiao, L., Liu, Y., 2022. Bulk compositions of the Chang’E-5 lunar soil: Insights into chemical homogeneity, exotic addition, and origin of landing site basalts. Geochim. Cosmochim. Acta 335, 284-296. https://doi.org/10.1016/j.gca.2022.06.037.

[53]

Zou, Y., Zhang, L., Liu, J., Mu, L., Ren, X., Zhang, G., Chang, J., Yan, J., Zhang, N., Zhang, H., Lu, C., Liu, J., Zuo, W., Su, Y., Wen, W., Bian, W., Wang, M., Xu, C., Li, C., Ouyang, Z., 2011. Data analysis of Chang’E-1 gamma-ray spectrometer and global distribution of U, K, and Th elemental abundances. Acta Geol. Sin. Engl. Ed. 85, 1299-1309. https://doi.org/10.1111/j.1755-6724.2011.00589.x.

[54]

Zuber, M.T., Smith, D.E., Watkins, M.M., Asmar, S.W., Konopliv, A.S., Lemoine, F.G., Melosh, H.J., Neumann, G.A., Phillips, R.J., Solomon, S.C., Wieczorek, M.A., Williams, J.G., Goossens, S.J., Kruizinga, G., Mazarico, E., Park, R.S., Yuan, D.-N., 2013. Gravity field of the Moon from the Gravity Recovery and Interior Laboratory (GRAIL) mission. Science 339, 668-671. https://doi.org/10.1126/science.1231507.

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