冰川均衡调整(GIA)模型研究进展
|
摘要
冰川均衡调整(GIA)是黏弹地球对末次冰期地表冰和海水负荷改变的响应,对地壳运动、海平面变化、地球重力场变化、地球旋转运动和应力状态等都有着重要的影响.介绍了目前国际上常见的几种冰川均衡调整(GIA)模型如ICE系列、Paulson07、Geruo13和IJ05系列、W12系列等,从数据来源、建模方法和应用方面对各模型进行了总结,对六种模型在南极地区的预测结果及不确定性进行了比较和分析,最后介绍了中国科学家在全球GIA研究和模型精化方面的重要进展和突出贡献.结果显示GIA模型之间的差别主要来自冰模型,三种冰模型较新的GIA模型ICE-6G_C(VM5a)、IJ05_R2和W12a在抬升峰值分布和东南极沿海大于内陆的量级分布上具有较好的一致性,但在平均量级上和下沉区域分布上仍存在较大的不确定性.随着数据源的扩展和建模方法的不断改进,未来的GIA模型将以更小更真实的不确定性用于地球科学相关领域.
Glacial isostatic adjustment( GIA) are responses to surface sea and ice loading change of viscoelastic earth during the last glacial. It has a important influence on the crustal movement,sea level changes,the change of gravity field of the earth,the earth rotation motion and stress state. This paper introduces the current international several glacial isostatic adjustment( GIA) models such as the ICE series, Paulson07, Geruo13, IJ05 series and W12 series. The data sources,modeling method,the prediction results and applications are summarized for each model. The prediction and uncertainty of several models are compared and analyzed in the Antarctic region. Finally the Chinese scientists important progress and outstanding contributions in the global GIA research and model refinement are introduced. Results show that the difference between GIA models is mainly from the different ice model,three GIA model ICE-6G_C( VM5a),IJ05_R2 and W12 a with new ice model have better consistency in the distribution of uplift peak and magnitude which coasts are higher than inland in East Antarctica,but there are still large uncertainties on the average magnitude and sinking area distribution. With the expansion of the data source and the improvement of the method of modeling,the GIA model will be used in the earth science related fields in smaller and more realistic uncertainties in the future.
Glacial isostatic adjustment( GIA) are responses to surface sea and ice loading change of viscoelastic earth during the last glacial. It has a important influence on the crustal movement,sea level changes,the change of gravity field of the earth,the earth rotation motion and stress state. This paper introduces the current international several glacial isostatic adjustment( GIA) models such as the ICE series, Paulson07, Geruo13, IJ05 series and W12 series. The data sources,modeling method,the prediction results and applications are summarized for each model. The prediction and uncertainty of several models are compared and analyzed in the Antarctic region. Finally the Chinese scientists important progress and outstanding contributions in the global GIA research and model refinement are introduced. Results show that the difference between GIA models is mainly from the different ice model,three GIA model ICE-6G_C( VM5a),IJ05_R2 and W12 a with new ice model have better consistency in the distribution of uplift peak and magnitude which coasts are higher than inland in East Antarctica,but there are still large uncertainties on the average magnitude and sinking area distribution. With the expansion of the data source and the improvement of the method of modeling,the GIA model will be used in the earth science related fields in smaller and more realistic uncertainties in the future.
引文
Ackert Jr R P,Barclay D J,Borns Jr H W,et al.1999.Measurements of past ice sheet elevations in interior West Antarctica[J].Science,286(5438):276-280.
Anderson J B,Shipp S S,Lowe A L,et al.2002.The Antarctic Ice Sheet during the Last Glacial Maximum and its subsequent retreat history:A review[J].Quaternary Science Reviews,21(1-3):49-70.
Argus D F,Blewitt G,Peltier W R,et al.2011.Rise of the Ellsworth mountains and parts of the East Antarctic coast observed with GPS[J].Geophysical Research Letters,38(16),doi:10.1029/2011GL048025.
Argus D F,Peltier W R.2010.Constraining models of postglacial rebound using space geodesy:A detailed assessment of model ICE-5G(VM2)and its relatives[J].Geophysical Journal International,181(2):697-723.
Argus D F,Peltier W R,Drummond R,et al.2014.The Antarctica component of postglacial rebound model ICE-6G_C(VM5a)based on GPS positioning,exposure age dating of ice thicknesses,and relative sea level histories[J].Geophysical Journal International,198(1):537-563.
Bentley M J,Anderson J B.1998.Glacial and marine geological evidence for the ice sheet configuration in the Weddell SeaAntarctic Peninsula region during the Last Glacial Maximum[J].Antarctic Science,10(3):309-325.
Cui S H,Xie Z R,Zhong H X,et al.2005.The primary researches that T/P sea height data is used for revised ground rise or fall at the tide gauge station[J].Advances in Earth Science(in Chinese),20(6):643-648.
Dietrich R,Ivins E R,Casassa G,et al.2010.Rapid crustal uplift in Patagonia due to enhanced ice loss[J].Earth and Planetary Science Letters,289(1-2):22-29.
Dziewonski A M,Anderson D L.1981.Preliminary reference Earth model[J].Physics of the Earth and Planetary Interiors,25(4):297-356.
E D C,Yang Y D,Chao D B.2009.The sea level change from the Antarctic ice sheet based on GRACE[J].Chinese Journal of Geophysics(in Chinese),52(9):2222-2228,doi:10.3969/j.issn.0001-5733.2009.09.005.
Geruo A,Wahr J,Zhong S J.2013.Computations of the viscoelastic response of a 3-D compressible Earth to surface loading:An application to Glacial Isostatic Adjustment in Antarctica and Canada[J].Geophysical Journal International,192(2):557-572.
Ivins E R,James T S.2005.Antarctic glacial isostatic adjustment:Anew assessment[J].Antarctic Science,17(4):541-553.
Ivins E R,James T S,Wahr J,et al.2013.Antarctic contribution to sea level rise observed by GRACE with improved GIA correction[J].Journal of Geophysical Research:Solid Earth,118(6):3126-3141.
Jia L L,Wang H S,Xiang L W,et al.2011.Effects of glacial isostatic adjustment on the estimate of ice mass balance over Antarctica and the uncertainties[J].Chinese Journal of Geophysics(in Chinese),54(6):1466-1477,doi:10.3969/j.issn.0001-5733.2011.06.006.
Jia L L,Wang H S,Xiang L W.2014a.Uncertainty of approximate relationship between GIA induced viscous gravity and radial displacement[J].Earth Science---Journal of China University of Geosciences(in Chinese),39(7):905-914.
Jia L L,Xiang L W,Luo Y F.2014b.Validation of the approximate linear relation between gravity and vertical deformation[J].Hydrographic Surveying and Charting(in Chinese),34(5):13-15.
Lowe A L,Anderson J B.2002.Reconstruction of the West Antarctic ice sheet in Pine Island Bay during the Last Glacial Maximum and its subsequent retreat history[J].Quaternary Science Reviews,21(16-17):1879-1897.
Mitrovica J X,Wahr J,Matsuyama I,et al.2005.The rotational stability of an ice-age earth[J].Geophysical Journal International,161(2):491-506.
Paulson A,Zhong S J,Wahr J.2007.Inference of mantle viscosity from GRACE and relative sea level data[J].Geophysical Journal International,171(2):497-508.
Peltier W R.1986.Deglaciation-induced vertical motion of the North American continent and transient lower mantle rheology[J].Journal of Geophysical Research:Solid Earth(1978-2012),91(B9):9099-9123.
Peltier W R.1988.Lithospheric thickness,Antarctic deglaciation history,and ocean basin discretization effects in a global model of postglacial sea level change:A summary of some sources of nonuniqueness[J].Quaternary Research,29(2):93-112.
Peltier W R.1994.Ice age paleotopography[J].Science,265(5169):195-195.
Peltier W R.1996.Mantle viscosity and ice-age ice sheet topography[J].Science,273(5280):1359-1364.
Peltier W R.2002.Global glacial isostatic adjustment:palaeogeodetic and space-geodetic tests of the ICE-4G(VM2)model[J].Journal of Quaternary Science,17(5-6):491-510.
Peltier W R.2004.Global glacial isostasy and the surface of the ice-age Earth:The ICE-5G(VM2)model and GRACE[J].Annual Review of Earth and Planetary Sciences,32:111-149.
Peltier W R,Andrews J T.1976.Glacial-isostatic adjustment-I.The forward problem[J].Geophysical Journal International,46(3):605-646.
Peltier W R,Argus D F,Drummond R.2015.Space geodesy constrains ice age terminal deglaciation:The global ICE‐6G_C(VM5a)model[J].Journal of Geophysical Research:Solid Earth,120(1):450-487.
Rutt I C,Hagdorn M,Hulton N R J,et al.2009.The Glimmer community ice sheet model[J].Journal of Geophysical Research:Earth Surface(2003-2012),114(F2):F02004.
Stone J O,Balco G A,Sugden D E,et al.2003.Holocene deglaciation of Marie Byrd land,west Antarctica[J].Science,299(5603):99-102.
Sun F P,Ning J S,Chao D B,et al.1997.Space geodetic detection of postglacial rebound[J].Acta Geodaetica et Cartographica Sinica(in Chinese),26(4):283-288.
Thomas I D,King M A,Bentley M J,et al.2011.Widespread low rates of Antarctic glacial isostatic adjustment revealed by GPS observations[J].Geophysical Research Letters,38(22):L22302.
Tushingham A M,Peltier W R.1991.Ice-3G:A new global model of Late Pleistocene deglaciation based upon geophysical predictions of post‐glacial relative sea level change[J].Journal of Geophysical Research:Solid Earth(1978-2012),96(B3):4497-4523.
Wang H S,Xu H Z,Li G Y.1996.Improvement of computations of load Love numbers of SNREI earth model[J].Acta Geophysica Sinica(in Chinese),39(S1):182-189.
Wang H S.1999.Applications of the theory of the deformation of a Visco-elastic Earth under Surface Loads[Ph.D.thesis](in Chinese).Beijing:Graduate University of Chinese Academy of Sciences.
Wang H S,Jia L L,Wu P,et al.2010.Effects of global glacial isostatic adjustment on the secular changes of gravity and sea level in East Asia[J].Chinese Journal of Geophysics(in Chinese),53(11):2590-2602,doi:10.3969/j.issn.0001-5733.2010.11.007.
Wang H S,Jia L L,Wu P,et al.2012.Effects of last-deglaciation on the historical relative sea levels of east Asia Seas and the implications[J].Chinese Journal of Geophysics(in Chinese),55(4):1144-1153,doi:10.6038/j.issn.0001-5733.2012.04.010.
Wang H S,Li G Y,Xu H Z.1997a.Continuously distributed modes of SNRVEI earth model and their effects[J].Acta Geophysica Sinica(in Chinese),40(1):78-84.
Wang H S,Wu P,van der Wal W.2008.Using postglacial sea level,crustal velocities and gravity-rate-of-change to constrain the influence of thermal effects on mantle lateral heterogeneities[J].Journal of Geodynamics,46(3-5):104-117.
Wang H S,Wu P,Van Der Wal W,et al.2009a.Glacial isostatic adjustment model constrained by geodetic measurements and relative sea level[J].Chinese Journal of Geophysics(in Chinese),52(10):2450-2460,doi:10.3969/j.issn.0001-5733.2009.10.004.
Wang H S,Wu P,Xu H Z.2009b.A review of research in glacial isostatic adjustment[J].Progress in Geophysics(in Chinese),24(6):1958-1967,doi:10.3969/j.issn.1004-2903.2009.06.005.
Wang H S,Xu H Z,Li G Y.1997b.Isostatic effects caused by QinghaiXingzang ice sheet loading during late Pleistocene[J].Acta Geodaetica et Cartographica Sinica(in Chinese),26(2):148-154.
Whitehouse P L,Bentley M J,Le Brocq A M.2012a.A deglacial model for Antarctica:Geological constraints and glaciological modelling as a basis for a new model of Antarctic glacial isostatic adjustment[J].Quaternary Science Reviews,32:1-24.
Whitehouse P L,Bentley M J,Milne G A,et al.2012b.A new glacial isostatic adjustment model for Antarctica:Calibrated and tested using observations of relative sea-level change and present-day uplift rates[J].Geophysical Journal International,190(3):1464-1482.
Wu P,Peltier W R.1983.Glacial isostatic adjustment and the free air gravity anomaly as a constraint on deep mantle viscosity[J].Geophysical Journal International,74(2):377-449.
Xiao Q,Xu H Z.1990.Impulse response of surface loading based on PREM-ZSCHAU Earth model[J].Acta Geophysica Sinica(in Chinese),33(3):319-328.
Zhao S R,Liu Q Y,Zhu J J.2013.Glacial isostatic adjustment models constrained by joint inversion of GPS and GRACE satellite observations in north America[J].Journal of Geodesy and Geodynamics(in Chinese),33(3):34-40.
Zhou X H,Xu H Z,Wu B,et al.2006.Earth’s gravity field derived from GRACE satellite tracking data[J].Chinese Journal of Geophysics(in Chinese),49(3):718-723,doi:10.3321/j.issn:0001-5733.2006.03.015.
Zhu X H,Sun F P.2005.Detection of postglacial rebound by using VLBI data[J].Chinese Journal of Geophysics(in Chinese),48(2):308-313,doi:10.3321/j.issn:0001-5733.2005.02.011.
崔树红,谢志仁,钟鹤翔,等.2005.利用T/P海面高度数据校验验潮站地面升降的初步研究[J].地球科学进展,20(6):643-648.[10]鄂栋臣,杨元德,晁定波.2009.基于GRACE资料研究南极冰盖消减对海平面的影响[J].地球物理学报,52(9):2222-2228,doi:10.3969/j.issn.0001-5733.2009.09.005.
贾路路,汪汉胜,相龙伟,等.2011.冰川均衡调整对南极冰质量平衡监测的影响及其不确定性[J].地球物理学报,2011,54(6):1466-1477,doi:10.3969/j.issn.0001-5733.2011.06.006.
贾路路,汪汉胜,相龙伟.2014a.冰川均衡调整重力与径向位移近似关系的不确定性[J].地球科学---中国地质大学学报,39(7):905-914.
贾路路,相龙伟,雒燕飞.2014b.GIA重力与垂直位移理论近似关系的实测验证[J].海洋测绘,34(5):13-15.
孙付平,宁津生,晁定波,等.1997.冰期后地壳回弹运动的空间大地测量检测[J].测绘学报,26(4):283-288.
汪汉胜.1999.黏弹负荷形变理论的应用[博士论文].北京:中国科学院研究生院.
汪汉胜,贾路路,Wu P,等.2010.冰川均衡调整对东亚重力和海平面变化的影响[J].地球物理学报,53(11):2590-2602,doi:10.3969/j.issn.0001-5733.2010.11.007.
汪汉胜,贾路路,Wu P,等.2012.末次冰期冰盖消融对东亚历史相对海平面的影响及意义[J].地球物理学报,55(4):1144-1153,doi:10.6038/j.issn.0001-5733.2012.04.010.
汪汉胜,李国营,许厚泽.1997a.SNRVEI地球模型连续分布的简正模及其意义[J].地球物理学报,40(1):78-84.
汪汉胜,Wu P,Van Der Wal W等.2009a.大地测量观测和相对海平面联合约束的冰川均衡调整模型[J].地球物理学报,52(10):2450-2460,doi:10.3969/j.issn.0001-5733.2009.10.004.
汪汉胜,Wu P,许厚泽.2009b.冰川均衡调整(GIA)的研究[J].地球物理学进展,24(6):1958-1967,doi:10.3969/j.issn.1004-2903.2009.06.005.
汪汉胜,许厚泽,李国营.1996.SNREI地球模型负荷勒夫数数值计算的新进展[J].地球物理学报,39(S1):182-189.
汪汉胜,许厚泽,李国营.1997b.青藏高原更新世晚期冰川的均衡效应[J].测绘学报,26(2):148-154.
肖强,许厚泽.1990.PREM-ZSCHAU滞弹地球模型对表面负荷的脉冲响应[J].地球物理学报,33(3):319-328.
赵少荣,刘庆元,朱建军.2013.联合GPS和GRACE卫星数据反演北美洲的冰川均衡调整模式[J].大地测量与地球动力学,33(3):34-40.
周旭华,许厚泽,吴斌,等.2006.用GRACE卫星跟踪数据反演地球重力场[J].地球物理学报,49(3):718-723,doi:10.3321/j.issn:0001-5733.2006.03.015.
朱新慧,孙付平.2005.用甚长基线干涉测量数据检测冰期后地壳回弹[J].地球物理学报,48(2):308-313,doi:10.3321/j.issn:0001-5733.2005.02.011.
Anderson J B,Shipp S S,Lowe A L,et al.2002.The Antarctic Ice Sheet during the Last Glacial Maximum and its subsequent retreat history:A review[J].Quaternary Science Reviews,21(1-3):49-70.
Argus D F,Blewitt G,Peltier W R,et al.2011.Rise of the Ellsworth mountains and parts of the East Antarctic coast observed with GPS[J].Geophysical Research Letters,38(16),doi:10.1029/2011GL048025.
Argus D F,Peltier W R.2010.Constraining models of postglacial rebound using space geodesy:A detailed assessment of model ICE-5G(VM2)and its relatives[J].Geophysical Journal International,181(2):697-723.
Argus D F,Peltier W R,Drummond R,et al.2014.The Antarctica component of postglacial rebound model ICE-6G_C(VM5a)based on GPS positioning,exposure age dating of ice thicknesses,and relative sea level histories[J].Geophysical Journal International,198(1):537-563.
Bentley M J,Anderson J B.1998.Glacial and marine geological evidence for the ice sheet configuration in the Weddell SeaAntarctic Peninsula region during the Last Glacial Maximum[J].Antarctic Science,10(3):309-325.
Cui S H,Xie Z R,Zhong H X,et al.2005.The primary researches that T/P sea height data is used for revised ground rise or fall at the tide gauge station[J].Advances in Earth Science(in Chinese),20(6):643-648.
Dietrich R,Ivins E R,Casassa G,et al.2010.Rapid crustal uplift in Patagonia due to enhanced ice loss[J].Earth and Planetary Science Letters,289(1-2):22-29.
Dziewonski A M,Anderson D L.1981.Preliminary reference Earth model[J].Physics of the Earth and Planetary Interiors,25(4):297-356.
E D C,Yang Y D,Chao D B.2009.The sea level change from the Antarctic ice sheet based on GRACE[J].Chinese Journal of Geophysics(in Chinese),52(9):2222-2228,doi:10.3969/j.issn.0001-5733.2009.09.005.
Geruo A,Wahr J,Zhong S J.2013.Computations of the viscoelastic response of a 3-D compressible Earth to surface loading:An application to Glacial Isostatic Adjustment in Antarctica and Canada[J].Geophysical Journal International,192(2):557-572.
Ivins E R,James T S.2005.Antarctic glacial isostatic adjustment:Anew assessment[J].Antarctic Science,17(4):541-553.
Ivins E R,James T S,Wahr J,et al.2013.Antarctic contribution to sea level rise observed by GRACE with improved GIA correction[J].Journal of Geophysical Research:Solid Earth,118(6):3126-3141.
Jia L L,Wang H S,Xiang L W,et al.2011.Effects of glacial isostatic adjustment on the estimate of ice mass balance over Antarctica and the uncertainties[J].Chinese Journal of Geophysics(in Chinese),54(6):1466-1477,doi:10.3969/j.issn.0001-5733.2011.06.006.
Jia L L,Wang H S,Xiang L W.2014a.Uncertainty of approximate relationship between GIA induced viscous gravity and radial displacement[J].Earth Science---Journal of China University of Geosciences(in Chinese),39(7):905-914.
Jia L L,Xiang L W,Luo Y F.2014b.Validation of the approximate linear relation between gravity and vertical deformation[J].Hydrographic Surveying and Charting(in Chinese),34(5):13-15.
Lowe A L,Anderson J B.2002.Reconstruction of the West Antarctic ice sheet in Pine Island Bay during the Last Glacial Maximum and its subsequent retreat history[J].Quaternary Science Reviews,21(16-17):1879-1897.
Mitrovica J X,Wahr J,Matsuyama I,et al.2005.The rotational stability of an ice-age earth[J].Geophysical Journal International,161(2):491-506.
Paulson A,Zhong S J,Wahr J.2007.Inference of mantle viscosity from GRACE and relative sea level data[J].Geophysical Journal International,171(2):497-508.
Peltier W R.1986.Deglaciation-induced vertical motion of the North American continent and transient lower mantle rheology[J].Journal of Geophysical Research:Solid Earth(1978-2012),91(B9):9099-9123.
Peltier W R.1988.Lithospheric thickness,Antarctic deglaciation history,and ocean basin discretization effects in a global model of postglacial sea level change:A summary of some sources of nonuniqueness[J].Quaternary Research,29(2):93-112.
Peltier W R.1994.Ice age paleotopography[J].Science,265(5169):195-195.
Peltier W R.1996.Mantle viscosity and ice-age ice sheet topography[J].Science,273(5280):1359-1364.
Peltier W R.2002.Global glacial isostatic adjustment:palaeogeodetic and space-geodetic tests of the ICE-4G(VM2)model[J].Journal of Quaternary Science,17(5-6):491-510.
Peltier W R.2004.Global glacial isostasy and the surface of the ice-age Earth:The ICE-5G(VM2)model and GRACE[J].Annual Review of Earth and Planetary Sciences,32:111-149.
Peltier W R,Andrews J T.1976.Glacial-isostatic adjustment-I.The forward problem[J].Geophysical Journal International,46(3):605-646.
Peltier W R,Argus D F,Drummond R.2015.Space geodesy constrains ice age terminal deglaciation:The global ICE‐6G_C(VM5a)model[J].Journal of Geophysical Research:Solid Earth,120(1):450-487.
Rutt I C,Hagdorn M,Hulton N R J,et al.2009.The Glimmer community ice sheet model[J].Journal of Geophysical Research:Earth Surface(2003-2012),114(F2):F02004.
Stone J O,Balco G A,Sugden D E,et al.2003.Holocene deglaciation of Marie Byrd land,west Antarctica[J].Science,299(5603):99-102.
Sun F P,Ning J S,Chao D B,et al.1997.Space geodetic detection of postglacial rebound[J].Acta Geodaetica et Cartographica Sinica(in Chinese),26(4):283-288.
Thomas I D,King M A,Bentley M J,et al.2011.Widespread low rates of Antarctic glacial isostatic adjustment revealed by GPS observations[J].Geophysical Research Letters,38(22):L22302.
Tushingham A M,Peltier W R.1991.Ice-3G:A new global model of Late Pleistocene deglaciation based upon geophysical predictions of post‐glacial relative sea level change[J].Journal of Geophysical Research:Solid Earth(1978-2012),96(B3):4497-4523.
Wang H S,Xu H Z,Li G Y.1996.Improvement of computations of load Love numbers of SNREI earth model[J].Acta Geophysica Sinica(in Chinese),39(S1):182-189.
Wang H S.1999.Applications of the theory of the deformation of a Visco-elastic Earth under Surface Loads[Ph.D.thesis](in Chinese).Beijing:Graduate University of Chinese Academy of Sciences.
Wang H S,Jia L L,Wu P,et al.2010.Effects of global glacial isostatic adjustment on the secular changes of gravity and sea level in East Asia[J].Chinese Journal of Geophysics(in Chinese),53(11):2590-2602,doi:10.3969/j.issn.0001-5733.2010.11.007.
Wang H S,Jia L L,Wu P,et al.2012.Effects of last-deglaciation on the historical relative sea levels of east Asia Seas and the implications[J].Chinese Journal of Geophysics(in Chinese),55(4):1144-1153,doi:10.6038/j.issn.0001-5733.2012.04.010.
Wang H S,Li G Y,Xu H Z.1997a.Continuously distributed modes of SNRVEI earth model and their effects[J].Acta Geophysica Sinica(in Chinese),40(1):78-84.
Wang H S,Wu P,van der Wal W.2008.Using postglacial sea level,crustal velocities and gravity-rate-of-change to constrain the influence of thermal effects on mantle lateral heterogeneities[J].Journal of Geodynamics,46(3-5):104-117.
Wang H S,Wu P,Van Der Wal W,et al.2009a.Glacial isostatic adjustment model constrained by geodetic measurements and relative sea level[J].Chinese Journal of Geophysics(in Chinese),52(10):2450-2460,doi:10.3969/j.issn.0001-5733.2009.10.004.
Wang H S,Wu P,Xu H Z.2009b.A review of research in glacial isostatic adjustment[J].Progress in Geophysics(in Chinese),24(6):1958-1967,doi:10.3969/j.issn.1004-2903.2009.06.005.
Wang H S,Xu H Z,Li G Y.1997b.Isostatic effects caused by QinghaiXingzang ice sheet loading during late Pleistocene[J].Acta Geodaetica et Cartographica Sinica(in Chinese),26(2):148-154.
Whitehouse P L,Bentley M J,Le Brocq A M.2012a.A deglacial model for Antarctica:Geological constraints and glaciological modelling as a basis for a new model of Antarctic glacial isostatic adjustment[J].Quaternary Science Reviews,32:1-24.
Whitehouse P L,Bentley M J,Milne G A,et al.2012b.A new glacial isostatic adjustment model for Antarctica:Calibrated and tested using observations of relative sea-level change and present-day uplift rates[J].Geophysical Journal International,190(3):1464-1482.
Wu P,Peltier W R.1983.Glacial isostatic adjustment and the free air gravity anomaly as a constraint on deep mantle viscosity[J].Geophysical Journal International,74(2):377-449.
Xiao Q,Xu H Z.1990.Impulse response of surface loading based on PREM-ZSCHAU Earth model[J].Acta Geophysica Sinica(in Chinese),33(3):319-328.
Zhao S R,Liu Q Y,Zhu J J.2013.Glacial isostatic adjustment models constrained by joint inversion of GPS and GRACE satellite observations in north America[J].Journal of Geodesy and Geodynamics(in Chinese),33(3):34-40.
Zhou X H,Xu H Z,Wu B,et al.2006.Earth’s gravity field derived from GRACE satellite tracking data[J].Chinese Journal of Geophysics(in Chinese),49(3):718-723,doi:10.3321/j.issn:0001-5733.2006.03.015.
Zhu X H,Sun F P.2005.Detection of postglacial rebound by using VLBI data[J].Chinese Journal of Geophysics(in Chinese),48(2):308-313,doi:10.3321/j.issn:0001-5733.2005.02.011.
崔树红,谢志仁,钟鹤翔,等.2005.利用T/P海面高度数据校验验潮站地面升降的初步研究[J].地球科学进展,20(6):643-648.[10]鄂栋臣,杨元德,晁定波.2009.基于GRACE资料研究南极冰盖消减对海平面的影响[J].地球物理学报,52(9):2222-2228,doi:10.3969/j.issn.0001-5733.2009.09.005.
贾路路,汪汉胜,相龙伟,等.2011.冰川均衡调整对南极冰质量平衡监测的影响及其不确定性[J].地球物理学报,2011,54(6):1466-1477,doi:10.3969/j.issn.0001-5733.2011.06.006.
贾路路,汪汉胜,相龙伟.2014a.冰川均衡调整重力与径向位移近似关系的不确定性[J].地球科学---中国地质大学学报,39(7):905-914.
贾路路,相龙伟,雒燕飞.2014b.GIA重力与垂直位移理论近似关系的实测验证[J].海洋测绘,34(5):13-15.
孙付平,宁津生,晁定波,等.1997.冰期后地壳回弹运动的空间大地测量检测[J].测绘学报,26(4):283-288.
汪汉胜.1999.黏弹负荷形变理论的应用[博士论文].北京:中国科学院研究生院.
汪汉胜,贾路路,Wu P,等.2010.冰川均衡调整对东亚重力和海平面变化的影响[J].地球物理学报,53(11):2590-2602,doi:10.3969/j.issn.0001-5733.2010.11.007.
汪汉胜,贾路路,Wu P,等.2012.末次冰期冰盖消融对东亚历史相对海平面的影响及意义[J].地球物理学报,55(4):1144-1153,doi:10.6038/j.issn.0001-5733.2012.04.010.
汪汉胜,李国营,许厚泽.1997a.SNRVEI地球模型连续分布的简正模及其意义[J].地球物理学报,40(1):78-84.
汪汉胜,Wu P,Van Der Wal W等.2009a.大地测量观测和相对海平面联合约束的冰川均衡调整模型[J].地球物理学报,52(10):2450-2460,doi:10.3969/j.issn.0001-5733.2009.10.004.
汪汉胜,Wu P,许厚泽.2009b.冰川均衡调整(GIA)的研究[J].地球物理学进展,24(6):1958-1967,doi:10.3969/j.issn.1004-2903.2009.06.005.
汪汉胜,许厚泽,李国营.1996.SNREI地球模型负荷勒夫数数值计算的新进展[J].地球物理学报,39(S1):182-189.
汪汉胜,许厚泽,李国营.1997b.青藏高原更新世晚期冰川的均衡效应[J].测绘学报,26(2):148-154.
肖强,许厚泽.1990.PREM-ZSCHAU滞弹地球模型对表面负荷的脉冲响应[J].地球物理学报,33(3):319-328.
赵少荣,刘庆元,朱建军.2013.联合GPS和GRACE卫星数据反演北美洲的冰川均衡调整模式[J].大地测量与地球动力学,33(3):34-40.
周旭华,许厚泽,吴斌,等.2006.用GRACE卫星跟踪数据反演地球重力场[J].地球物理学报,49(3):718-723,doi:10.3321/j.issn:0001-5733.2006.03.015.
朱新慧,孙付平.2005.用甚长基线干涉测量数据检测冰期后地壳回弹[J].地球物理学报,48(2):308-313,doi:10.3321/j.issn:0001-5733.2005.02.011.