Modeling Englacial Radar Attenuation at Siple Dome, West Antarctica, Using Ice Chemistry and Temperature Data

[1] The radar reflectivity of an ice-sheet bed is a primary measurement for discriminating between thawed and frozen beds. Uncertainty in englacial radar attenuation and its spatial variation introduces corresponding uncertainty in estimates of basal reflectivity. Radar attenuation is proportional to ice conductivity, which depends on the concentrations of acid and sea-salt chloride and the temperature of the ice. We synthesize published conductivity measurements to specify an ice-conductivity model and find that some of the dielectric properties of ice at radar frequencies are not yet well constrained. Using depth profiles of ice-core chemistry and borehole temperature and an average of the experimental values for the dielectric properties, we calculate an attenuation rate profile for Siple Dome, West Antarctica. The depth-averaged modeled attenuation rate at Siple Dome (20.0 ± 5.7 dB km−1) is somewhat lower than the value derived from radar profiles (25.3 ± 1.1 dB km−1). Pending more experimental data on the dielectric properties of ice, we can match the modeled and radar-derived attenuation rates by an adjustment to the value for the pure ice conductivity that is within the range of reported values. Alternatively, using the pure ice dielectric properties derived from the most extensive single data set, the modeled depth-averaged attenuation rate is 24.0 ± 2.2 dB km−1. This work shows how to calculate englacial radar attenuation using ice chemistry and temperature data and establishes a basis for mapping spatial variations in radar attenuation across an ice sheet.

[1]  E. Saltzman,et al.  Glacial/interglacial variations in methanesulfonate (MSA) in the Siple Dome ice core, West Antarctica , 2006 .

[2]  Hideo Maeno,et al.  Radio-wave depolarization and scattering within ice sheets: a matrix-based model to link radar and ice-core measurements and its application , 2006, Journal of Glaciology.

[3]  J. Severinghaus,et al.  Timing of millennial-scale climate change at Siple Dome, West Antarctica, during the last glacial period , 2005 .

[4]  M. E. Peters,et al.  Analysis techniques for coherent airborne radar sounding: Application to West Antarctic ice streams , 2005 .

[5]  Robert W. Jacobel,et al.  A time marker at 17.5 kyr BP detected throughout West Antarctica , 2005, Annals of Glaciology.

[6]  S. Marshall,et al.  Tracer transport in the Greenland ice sheet: three-dimensional isotopic stratigraphy , 2005 .

[7]  J. Jouzel,et al.  Volcanic eruption frequency over the last 45 ky as recorded in Epica-Dome C ice core (East Antarctica) and its relationship with climatic changes , 2004 .

[8]  E. Wolff,et al.  A reinterpretation of sea-salt records in Greenland and Antarctic ice cores? , 2004, Annals of Glaciology.

[9]  H. Engelhardt Thermal regime and dynamics of the West Antarctic ice sheet , 2004, Annals of Glaciology.

[10]  D. Dixon,et al.  A 200 year sub-annual record of sulfate in West Antarctica, from 16 ice cores , 2004, Annals of Glaciology.

[11]  E. Wolff,et al.  Distribution of soluble impurities in cold glacial ice , 2004, Journal of Glaciology.

[12]  R. Alley,et al.  Two-dimensional electrical stratigraphy of the Siple Dome (Antarctica) ice core , 2004 .

[13]  Uwe Nixdorf,et al.  Revealing the nature of radar reflections in ice: DEP‐based FDTD forward modeling , 2003 .

[14]  Dale P. Winebrenner,et al.  Radio-frequency attenuation beneath Siple Dome,West Antarctica, from wide-angle and profiling radar observations , 2003, Annals of Glaciology.

[15]  Robert W. Jacobel,et al.  Modeling the radio echo reflections inside the ice sheet at Summit, Greenland , 2002 .

[16]  R. Röthlisberger,et al.  Effect of density on electrical conductivity of chemically laden polar ice , 2002 .

[17]  E. Waddington,et al.  Isochrones and isotherms beneath migrating ice divides , 2002, Journal of Glaciology.

[18]  Seiho Uratsuka,et al.  A ground-based, multi-frequency ice-penetrating radar system , 2002, Annals of Glaciology.

[19]  T. Kameda,et al.  Linear and non-linear relations between the high-frequency-limit conductivity, AC-ECM signals and ECM signals of Dome F Antarctic ice core from a laboratory experiment , 2002, Annals of Glaciology.

[20]  I. Baker,et al.  Observation of impurities in ice , 2001, Microscopy research and technique.

[21]  E. Wolff,et al.  Frost flowers as a source of fractionated sea salt aerosol in the polar regions , 2000 .

[22]  Takeshi Matsuoka,et al.  A summary of the complex dielectric permittivity of ice in the megahertz range and its applications for radar sounding of polar ice sheets , 2000 .

[23]  A. Gades,et al.  Bed properties of Siple Dome and adjacent ice streams, West Antarctica, inferred from radio-echo sounding measurements , 2000, Journal of Glaciology.

[24]  A. Gow,et al.  Preliminary analysis of ice cores from Siple Dome, West Antarctica , 2000 .

[25]  D. Fisher,et al.  Measurement of electrical conductance in ice cores by AC-ECM method , 2000 .

[26]  E. Wolff Electrical stratigraphy of polar ice cores : principles, methods, and findings , 2000 .

[27]  R. Jacobel,et al.  The accumulation pattern across Siple Dome, West Antarctica, inferred from radar-detected internal layers , 2000, Journal of Glaciology.

[28]  J. Wettlaufer Impurity Effects in the Premelting of Ice , 1999 .

[29]  H. Narita,et al.  Acid ions at triple junction of Antarctic ice observed by Raman scattering , 1998 .

[30]  C. Bentley,et al.  Radar reflections reveal a wet bed beneath stagnant Ice Stream C and a frozen bed beneath ridge BC, West Antarctica , 1998 .

[31]  Richard K. Moore,et al.  An improved coherent radar depth sounder , 1998, Journal of Glaciology.

[32]  J. Moore,et al.  Factors controlling the electrical conductivity of ice from the polar regions-A Summary , 1997 .

[33]  S. Fujita,et al.  Dielectric Properties of Ice Containing Ionic Impurities at Microwave Frequencies , 1997 .

[34]  P. Mayewski,et al.  Glaciochemistry of polar ice cores: A review , 1997 .

[35]  Takeshi Matsuoka,et al.  Precise measurement of dielectric anisotropy in ice Ih at 39 GHz , 1997 .

[36]  H. Clausen,et al.  50,000 YEARS OF RECORDED GLOBAL VOLCANISM , 1997 .

[37]  S. Fujita,et al.  MEASUREMENTS OF THE COMPLEX PERMITTIVITY OF ACID-DOPED ICE FROM 1 KHZ TO 30 MHZ : NEW DATA SET FOR DEVELOPING ICE RADAR AND DIELECTRIC ANALYSIS OF ICE CORES , 1996 .

[38]  T. Scambos,et al.  Changes in the configuration of ice stream flow from the West Antarctic Ice Sheet , 1996 .

[39]  M. Legrand,et al.  Light carboxylic acids in Greenland ice: A record of past forest fires and vegetation emissions from the boreal zone , 1996 .

[40]  R. Saltus,et al.  A new high-precision borehole-temperature logging system used at GISP2, Greenland, and Taylor Dome, Antarctica , 1996 .

[41]  Eric W. Wolff,et al.  Long‐term changes in the acid and salt concentrations of the Greenland Ice Core Project ice core from electrical stratigraphy , 1995 .

[42]  Austin Kovacs,et al.  The in-situ dielectric constant of polar firn revisited , 1995 .

[43]  Steven A. Arcone,et al.  Numerical studies of the radiation patterns of resistively loaded dipoles , 1995 .

[44]  J. Moore,et al.  Electrical response of the Summit‐Greenland ice core to ammonium, sulphuric acid, and hydrochloric acid , 1994 .

[45]  S. Fujita,et al.  Causes and nature of ice-sheet radio-echo internal reflections estimated from the dielectric properties of ice , 1994, Annals of Glaciology.

[46]  Shuji Fujita,et al.  Dielectric properties of ice containing acid and salt impurity at microwave and low frequencies , 1993 .

[47]  Hugh F. J. Corr,et al.  Radar absorption due to impurities in Antarctic ice , 1993 .

[48]  Hans Oerter,et al.  Sea salt dependent electrical conduction in polar ice , 1992 .

[49]  Shuji Fujita,et al.  Measurement on the dielectric properties of acid-doped ice at 9.7 GHz , 1992, IEEE Trans. Geosci. Remote. Sens..

[50]  Eric W. Wolff,et al.  The chemical basis for the electrical stratigraphy of ice , 1992 .

[51]  J. Moore,et al.  Dielectric stratigraphy of ice: A new technique for determining total ionic concentrations in polar ice cores , 1989 .

[52]  M. Legrand,et al.  Vostok (Antarctica) ice core: Atmospheric chemistry changes over the last climatic cycle (160,000 years) , 1988 .

[53]  M. Legrand,et al.  Formation of HCl in the Antarctic atmosphere , 1988 .

[54]  E. Wolff,et al.  Sulphuric acid at grain boundaries in Antarctic ice , 1988, Nature.

[55]  Charles R. Bentley,et al.  The morphology of ice streams A, B, and C, west Antarctica, and their environs , 1987 .

[56]  N. Maeno,et al.  ELECTRIC CHARACTERISTICS OF POINT DEFECTS IN HCl-DOPED ICE , 1987 .

[57]  L. A. Rasmussen Refraction correction for radio echo-sounding of ice overlain by firn , 1986 .

[58]  E. Wolff,et al.  A two-phase model of electrical conduction in polar ice sheets , 1984 .

[59]  R. Armstrong,et al.  The Physics of Glaciers , 1981 .

[60]  J. Paren Reflection coefficient at a dielectric interface , 1981 .

[61]  H. D. Holland The chemistry of the atmosphere and oceans , 1978 .

[62]  G. P. Johari,et al.  The Permittivity and Attenuation in Polycrystalline and Single-Crystal Ice Ih at 35 and 60 MHz , 1975, Journal of Glaciology.

[63]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[64]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1969 .

[65]  Donald E. Garfield,et al.  Antarctic Ice Sheet: Preliminary Results of First Core Hole to Bedrock , 1968, Science.

[66]  S. Evans Dielectric Properties of Ice and Snow–a Review , 1965, Journal of Glaciology.