收稿：2017-12-20，
录用：2019-1-17，
纸质出版：2019-09
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矿物的类型、丰度及其粒径分布对理解月球和行星表面曾经存在过怎样的地质演化过程具有重要的意义。本文提出基于辐射传输模型和稀疏分解模型反演矿物丰度及其粒径分布的方法，利用辐射传输模型计算各矿物端元不同粒径的单次散射反照率以构建解混光谱库，然后基于稀疏分解算法得到在每个可观测像元的端元最优丰度和粒径分布。利用实验室测量数据进行验证，表明本文方法具有较高的精度。最后根据玉兔号月球车的实地测量光谱数据，利用本文方法获得了其矿物的丰度及粒径分布，结果显示，辉石、橄榄石、斜长石、熔融玻璃和钛铁矿的丰度在4个观测点的平均丰度分别为28.1%、4.5%、39%、28%、0.4%，辉石的平均粒径为166.02 μm，橄榄石为8.34 μm，斜长石为196.31 μm，熔融玻璃为44.21 μm，一定程度上表明在这些观测点不同矿物对太空风化的响应不同。
A fundamental subject in planetary exploration and sciences is the determination of mineral abundance and size distribution from visible/near-infrared spectra. Such knowledge can help better understand what geologic processes have been active on the lunar and planetary surface. The imaging spectrometer carried by the Yutu rover of the Chang’E-3 mission measured the reflectance spectra of lunar soil at a height of approximately 1 m
providing a new insight for understanding lunar surface. A new method was proposed to retrieve mineral abundance and particle size distribution and apply the results to Yutu rover in situ measurement. A methodology combining Hapke radiative transfer model and sparse unmixing algorithm was proposed in this study to retrieve mineral abundance and particle size distribution. The imaginary part of the refractive index of each endmember was first calculated by solving the Hapke model. The single-scattering albedos of each endmember with different particle sizes were obtained based on the Hapke slab model
and then the endmember library was constructed. Finally
the single-scattering albedo of the mineral mixture
which was computed using Hapke bidirectional equation
was unmixed using sparse unmixing algorithm with the aid of the endmember library. Laboratory measurements collected from the Reflectance Experiment Laboratory were used to validate the methodology. Results showed that the methodology has good performance in retrieving the abundance and particle size from mineral mixtures. Finally
the methodology was applied to Yutu rover measurement. The values of average abundance of pyroxene
olivine
plagioclase
agglutinit
and ilmenite at four observation points were 28.1%
4.5%
39%
28%
and 0.4%
respectively. The average particle sizes of pyroxene
olivine
plagioclase
and fused glass were 166.02
8.34
196.31
and 44.21 μm
respectively
possibly indicating the different response of each component to space weathering in this site.
Bell P M, Mao H K and Weeks R A. 1976. Optical spectra and electron paramagnetic resonance of lunar and synthetic glasses: a study of the effects of controlled atmosphere, composition, and temperature//Proceedings of the 7th Lunar Science Conference. New York: Pergamon Press
Bioucas-Dias J M and Figueiredo M A T. 2010. Alternating direction algorithms for constrained sparse regression: application to hyperspectral unmixing//Proceedings of the 2010 2nd Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing. Reykjavik, Iceland: IEEE [DOI: 10.1109/WHISPERS.2010.5594963]
Clark R N, King T V V, Klejwa M, Swayze G A and Vergo N. 1990. High spectral resolution reflectance spectroscopy of minerals. Journal of Geophysical Research, 95(B8): 12653–12680
Combe J P, McCord T B, Hayne P O and Paige D A. 2011. Mapping of lunar volatiles with moon mineralogy mapper spectra: a challenge due to thermal emission//Proceedings of EPSC-DPS Joint Meeting 2011. Nantes, France: COPERNICUS
Egan W G and Hilgeman T. 1975. The interstellar medium: UV complex index of refraction of several candidate materials. The Astronomical Journal, 80(8): 587–594
Gabay D and Mercier B. 1976. A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Computers and Mathematics with Applications, 2(1): 17–40
Hapke B. 1981. Bidirectional reflectance spectroscopy: 1. theory. Journal of Geophysical Research, 86(B4): 3039–3054
Hapke B. 2001. Space weathering from Mercury to the asteroid belt. Journal of Geophysical Research, 106(E5): 10039–10073
Hapke B. 2012. Theory of Reflectance and Emittance Spectroscopy. 2nd ed. New York: Cambridge University Press
He Z P, Wang B Y, Lv G, Li C L, Yuan L Y, Xu R, Chen K and Wang J Y. 2014. Visible and near-infrared imaging spectrometer and its preliminary results from the Chang’E 3 project. Review of Scientific Instruments, 85(8): 083104
Heiken G H, Vaniman D T and French B M. 1991. Lunar Sourcebook: a User’s Guide to the Moon. Cambridge: Cambridge University Press
Iordache M D, Bioucas-Dias J M and Plaza A. 2011. Sparse unmixing of hyperspectral data. IEEE Transactions on Geoscience and Remote Sensing, 49(6): 2014–2039
Li S and Li L. 2011. Radiative transfer modeling for quantifying lunar surface minerals, particle size, and submicroscopic metallic Fe. Journal of Geophysical Research, 116(E9): E09001
Li S and Milliken R E. 2015. Estimating the modal mineralogy of eucrite and diogenite meteorites using visible–near infrared reflectance spectroscopy. Meteoritics and Planetary Science, 50(11): 1821–1850
Ling Z C, Jolliff B L, Wang A L, Li C L, Liu J Z, Zhang J, Li B, Sun L Z, Chen J, Xiao L, Liu J J, Ren X, Peng W X, Wang H Y, Cui X Z, He Z P and Wang J Y. 2015. Correlated compositional and mineralogical investigations at the Chang’e-3 landing site. Nature Communications, 6: 8880
Lucey P G. 1998. Model near‐infrared optical constants of olivine and pyroxene as a function of iron content. Journal of Geophysical Research, 103(E1): 1703–1713
Lucey P G. 2004. Mineral maps of the moon. Geophysical Research Letters, 31(8): L08701
Mustard J F and Pieters C M. 1989. Photometric phase functions of common geologic minerals and applications to quantitative analysis of mineral mixture reflectance spectra. Journal of Geophysical Research, 94(B10): 13619–13634
Papike J, Taylor L A and Simon S. 1991. Lunar minerals//Heiken G H, Vaniman D T and French B M, eds. Lunar Sourcebook. New York: Cambridge University Press
Pieter C M, Fischer E M and Basu O R A. 1993. Optical effects of space weathering: the role of the finest fraction. Journal of Geophysical Research, 98(E11): 20817–20824
Pieters C M, Stankevich D G, Shkuratov Y G and Taylor L A. 2002. Statistical analysis of the links among lunar mare soil mineralogy, chemistry, and reflectance spectra. Icarus, 155(2): 285–298
Pieters C M, Taylor L A, Noble S K, Keller L P, Hapke B, Morris R V, Allen C C, McKay D S and Wentworth S. 2000. Space weathering on airless bodies: resolving a mystery with lunar samples. Meteoritics and Planetary Science, 35(5): 1101–1107
Robertson K M, Milliken R E and Li S. 2016. Estimating mineral abundances of clay and gypsum mixtures using radiative transfer models applied to visible-near infrared reflectance spectra. Icarus, 277: 171–186
Roush T L. 2003. Estimated optical constants of the Tagish Lake meteorite. Meteoritics and Planetary Science, 38(3): 419–426
Shkuratov Y, Starukhina L, Hoffmann H and Arnold G. 1999. A model of spectral albedo of particulate surfaces: implications for optical properties of the moon. Icarus, 137(2): 235–246
Shuai T, Zhang X, Zhang L F and Wang J N. 2013. Mapping global lunar abundance of plagioclase, clinopyroxene and olivine with Interference Imaging Spectrometer hyperspectral data considering space weathering effect. Icarus, 222(1): 401–410
Taylor L A, Pieters C, Keller L P, Morris R V, McKAY D S, Patchen A and Wentworth S. 2001a. The effects of space weathering on Apollo 17 mare soils: petrographie and chemical characterization. Meteoritics and Planetary Science, 36(2): 285–299
Taylor L A, Pieters C M, Keller L P, Morris R V and McKay D S. 2001b. Lunar mare soils: space weathering and the major effects of surface‐correlated nanophase Fe. Journal of Geophysical Research, 106(E11): 27985–27999
Wu Y Z and Hapke B. 2018. Spectroscopic observations of the Moon at the lunar surface. Earth and Planetary Science Letters, 484: 145–153
Xiao L, Zhu P M, Fang G Y, Xiao Z Y, Zou Y L, Zhao J N, Zhao N, Yuan Y F, Qiao L, Zhang X P, Zhang H, Wang J, Huang J, Huang Q, He Q, Zhou B, Ji Y C, Zhang Q Y, Shen S X, Li Y X and Gao Y Z. 2015. A young multilayered terrane of the northern Mare Imbrium revealed by Chang’E-3 mission. Science, 347(6227): 1226–1229
Yan B K, Wang R S, Gan F P and Wang Z C. 2010. Minerals mapping of the lunar surface with Clementine UVVIS/NIR data based on spectra unmixing method and Hapke model. Icarus, 208(1): 11–19
Zhang H, Yang Y Z, Yuan Y, Jin W D, Lucey P G, Zhu M H, Kaydash V G, Shkuratov Y G, Di K C, Wan W H, Xu B, Xiao L, Wang Z W and Xue B. 2015. In situ optical measurements of Chang'E‐3 landing site in Mare Imbrium: 1. mineral abundances inferred from spectral reflectance. Geophysical Research Letters, 42(17): 6945–6950
Zhang J H, Yang W, Hu S, Lin Y T, Fang G Y, Li C L, Peng W X, Zhu S Y, He Z P, Zhou B, Lin H Y, Yang J F, Liu E H, Xu Y C, Wang J Y, Yao Z X, Zou Y L, Yan J and Ouyang Z Y. 2015. Volcanic history of the Imbrium basin: a close-up view from the lunar rover Yutu. Proceedings of the National Academy of Sciences of the United States of America, 112(17): 5342–5347
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