Simulation of high-energy radiation belt electron fluxes using NARMAX-VERB coupled codes

This study presents a fusion of data-driven and physics-driven methodologies of energetic electron flux forecasting in the outer radiation belt. Data-driven NARMAX (Nonlinear AutoRegressive Moving Averages with eXogenous inputs) model predictions for geosynchronous orbit fluxes have been used as an outer boundary condition to drive the physics-based Versatile Electron Radiation Belt (VERB) code, to simulate energetic electron fluxes in the outer radiation belt environment. The coupled system has been tested for three extended time periods totalling several weeks of observations. The time periods involved periods of quiet, moderate, and strong geomagnetic activity and captured a range of dynamics typical of the radiation belts. The model has successfully simulated energetic electron fluxes for various magnetospheric conditions. Physical mechanisms that may be responsible for the discrepancies between the model results and observations are discussed.

[1]  Daniel N. Baker,et al.  Linear prediction filter analysis of relativistic electron properties at 6.6 RE , 1990 .

[2]  J. B. Blake,et al.  Energization of relativistic electrons in the presence of ULF power and mev microbursts: Evidence for dual ULF and VLF acceleration , 2003 .

[3]  M. Hudson,et al.  Simulation of the acceleration of relativistic electrons in the inner magnetosphere using RCM-VERB coupled codes , 2011 .

[4]  R. Anderson,et al.  An ISEE/Whistler model of equatorial electron density in the magnetosphere , 1992 .

[5]  D. Baker.  Solar wind-magnetosphere drivers of space weather , 1996 .

[6]  Binbin Ni,et al.  Relativistic radiation belt electron responses to GEM magnetic storms: Comparison of CRRES observations with 3‐D VERB simulations , 2012 .

[7]  Kyung‐Chan Kim,et al.  Numerical estimates of drift loss and Dst effect for outer radiation belt relativistic electrons with arbitrary pitch angle , 2010 .

[8]  Yuri Shprits,et al.  Long‐term radiation belt simulation with the VERB 3‐D code: Comparison with CRRES observations , 2011 .

[9]  R. Denton,et al.  Electron density in the magnetosphere , 2004 .

[10]  Daniel Coca,et al.  Data based quest for solar wind‐magnetosphere coupling function , 2010 .

[11]  M. Kivelson,et al.  Relativistic electrons in the outer radiation belt: Differentiating between acceleration mechanisms , 2004 .

[12]  Yue Chen,et al.  Phase space density distributions of energetic electrons in the outer radiation belt during two Geospace Environment Modeling Inner Magnetosphere/Storms selected storms , 2006 .

[13]  Yuri Shprits,et al.  Review of modeling of losses and sources of relativistic electrons in the outer radiation belt I: Radial transport , 2008 .

[14]  S. Billings,et al.  Application of nonlinear autoregressive moving average exogenous input models to Geospace: Advances in understanding and space weather forecasts , 2013 .

[15]  V. Angelopoulos,et al.  Evolution and slow decay of an unusual narrow ring of relativistic electrons near L ~ 3.2 following the September 2012 magnetic storm , 2013 .

[16]  F. Xiao,et al.  Radiation belt electron dynamics driven by adiabatic transport, radial diffusion, and wave‐particle interactions , 2011 .

[17]  Xiaoping Zhou,et al.  Nonstorm time scattering of ring current protons by electromagnetic ion cyclotron waves , 2012 .

[18]  Juan G. Roederer,et al.  Dynamics of Geomagnetically Trapped Radiation , 1970 .

[19]  Richard M. Thorne,et al.  Acceleration mechanism responsible for the formation of the new radiation belt during the 2003 Halloween solar storm , 2006 .

[20]  David G. Sibeck,et al.  Kp forecast models , 2005 .

[21]  Daniel N. Baker,et al.  Unusual stable trapping of the ultrarelativistic electrons in the Van Allen radiation belts , 2013, Nature Physics.

[22]  Michael W. Liemohn,et al.  Low‐energy electrons (5–50 keV) in the inner magnetosphere , 2014 .

[23]  N. Herlofson,et al.  Particle Diffusion in the Radiation Belts , 1962 .

[24]  Yuri Shprits,et al.  Transport of the plasma sheet electrons to the geostationary distances , 2012 .

[25]  D. Baker,et al.  Chorus acceleration of radiation belt relativistic electrons during March 2013 geomagnetic storm , 2014 .

[26]  N. Tsyganenko.  A magnetospheric magnetic field model with a warped tail current sheet , 1989 .

[27]  J. B. Blake,et al.  The Magnetic Electron Ion Spectrometer (MagEIS) Instruments Aboard the Radiation Belt Storm Probes (RBSP) Spacecraft , 2013, Space Science Reviews.

[28]  Richard M. Thorne,et al.  Outward radial diffusion driven by losses at magnetopause , 2006 .

[29]  周辉.  北京大学濮祖荫教授被推选为国际著名期刊Journal of Geophysical Research——Space Physics的主编 , 2006 .

[30]  Michael Ghil,et al.  Reanalysis of relativistic radiation belt electron fluxes using CRRES satellite data, a radial diffusion model, and a Kalman filter , 2007 .

[31]  S. F. Singer,et al.  Geomagnetically trapped electrons from cosmic ray albedo neutrons , 1961 .

[32]  S. Saito,et al.  A split in the outer radiation belt by magnetopause shadowing , 2010 .

[33]  S. A. Billings,et al.  Identification of nonlinear processes in the magnetospheric dynamics and forecasting of Dst index , 2001 .

[34]  Scot R. Elkington,et al.  Acceleration of relativistic electrons via drift‐resonant interaction with toroidal‐mode Pc‐5 ULF oscillations , 1999 .

[35]  F. Xiao,et al.  Modeling for precipitation loss of ring current protons by electromagnetic ion cyclotron waves , 2011 .

[36]  S. A. Billings,et al.  Terrestrial magnetosphere as a nonlinear resonator , 2001 .

[37]  D. Baker,et al.  Observation of two distinct, rapid loss mechanisms during the 20 November 2003 radiation belt dropout event , 2006 .

[38]  R. Horne,et al.  Space weather impacts on satellites and forecasting the Earth's electron radiation belts with SPACECAST , 2013 .

[39]  Richard M. Thorne,et al.  Potential waves for relativistic electron scattering and stochastic acceleration during magnetic storms , 1998 .

[40]  M. Spasojević,et al.  Activity‐dependent global model of electron loss inside the plasmasphere , 2014 .

[41]  Takahiro Obara,et al.  Relativistic electron dynamics in the inner magnetosphere — a review , 2002 .

[42]  Q. Zong,et al.  Pitch‐angle distribution evolution of energetic electrons in the inner radiation belt and slot region during the 2003 Halloween storm , 2009 .

[43]  Jay M. Albert,et al.  Radial diffusion analysis of outer radiation belt electrons during the October 9, 1990, magnetic storm , 2000 .

[44]  Yuri Shprits,et al.  Explaining sudden losses of outer radiation belt electrons during geomagnetic storms , 2012, Nature Physics.

[45]  J B Blake,et al.  Electron Acceleration in the Heart of the Van Allen Radiation Belts , 2013, Science.

[46]  Christopher T. Russell,et al.  A new functional form to study the solar wind control of the magnetopause size and shape , 1997 .

[47]  P. Palange,et al.  From the authors , 2007, European Respiratory Journal.

[48]  F. Xiao,et al.  Modeling of outer radiation belt electrons by multidimensional diffusion process , 2009 .

[49]  R. Sagdeev,et al.  Nonlinear oscillations of rarified plasma , 1961 .

[50]  Sheng Chen,et al.  Identification of MIMO non-linear systems using a forward-regression orthogonal estimator , 1989 .

[51]  Binbin Ni,et al.  Evolution of electron fluxes in the outer radiation belt computed with the VERB code , 2009 .

[52]  R. Horne,et al.  Three‐dimensional diffusion simulation of outer radiation belt electrons during the 9 October 1990 magnetic storm , 2009 .

[53]  R. Thorne,et al.  Relativistic theory of wave‐particle resonant diffusion with application to electron acceleration in the magnetosphere , 1998 .

[54]  Mark B. Moldwin,et al.  An empirical plasmasphere and trough density model: CRRES observations , 2001 .

[55]  Yuri Shprits,et al.  A Geosynchronous Radiation‒belt Electron Empirical Prediction (GREEP) model , 2013 .

[56]  B. Ni,et al.  Three‐dimensional VERB radiation belt simulations including mixed diffusion , 2010 .

[57]  S. A. Billings,et al.  Using the NARMAX OLS-ERR algorithm to obtain the most influential coupling functions that affect the evolution of the magnetosphere , 2011 .

[58]  Sebastien Bourdarie,et al.  Simulation of the outer radiation belt electrons near geosynchronous orbit including both radial diffusion and resonant interaction with Whistler‐mode chorus waves , 2005 .

[59]  Yuri Shprits,et al.  Review of modeling of losses and sources of relativistic electrons in the outer radiation belt II: Local acceleration and loss , 2008 .

[60]  Daniel N. Baker,et al.  Quantitative prediction of radiation belt electrons at geostationary orbit based on solar wind measurements , 2001 .

[61]  Yuri Shprits,et al.  Three‐dimensional modeling of the radiation belts using the Versatile Electron Radiation Belt (VERB) code , 2009 .

[62]  S. Billings,et al.  The analysis of electron fluxes at geosynchronous orbit employing a NARMAX approach , 2013 .

[63]  F. Toffoletto,et al.  Inner magnetospheric modeling with the Rice Convection Model , 2003 .

[64]  Yiqun Yu,et al.  Quantifying the effect of magnetopause shadowing on electron radiation belt dropouts , 2013 .

[65]  F. Xiao,et al.  Three-dimensional simulations of outer radiation belt electron dynamics including cross-diffusion terms , 2010 .

[66]  L. Desorgher,et al.  Simulation of the outer radiation belt electron flux decrease during the March 26, 1995, magnetic storm , 2000 .

[67]  J. B. Blake,et al.  Rapid local acceleration of relativistic radiation-belt electrons by magnetospheric chorus , 2013, Nature.

[68]  A. Chan,et al.  Fully adiabatic changes in storm time relativistic electron fluxes , 1997 .

[69]  Xueqin Huang,et al.  Distribution of density along magnetospheric field lines , 2003 .

[70]  R. Horne,et al.  Phase space density analysis of the outer radiation belt energetic electron dynamics , 2006 .

[71]  Charles F. Kennel,et al.  Velocity Space Diffusion from Weak Plasma Turbulence in a Magnetic Field , 1966 .