OUR PROPOSED RESEARCH FOCUSES ON FINDING THE ORIGINS OF THE DOUBLE POWER-LAW SPECTRAL PROFILE OBSERVED AT 1 AU. SPECIFICALLY WE WILL EXAMINE THE FOLLOWING TWO HYPOTHESES: (1) THE DOUBLE POWER-LAW ENERGY PROFILE IS GENERATED CLOSE TO THE SUN DUE TO THE FINITE SHOCK LIFETIME OR SIZE OR SHOCK GEOMETRY IN THE STANDARD SHOCK ACCELERATION THEORY; (2) THE DOUBLE POWER-LAW SPECTRA ARE DUE TO THE TRANSPORT PROCESS FROM THE SUN TO 1 AU. IF THE FIRST HYPOTHESIS IS PROVED WE WILL EXAMINE THE DEPENDENCE OF THE BREAK ENERGIES AND THEIR Q/A CORRELATION ON SHOCK PARAMETERS AND OTHER CONDITIONS NEAR THE SHOCK REGION. FOR A CORONAL MASS EJECTION (CME) EVENT WITH THE OBSERVED/SIMULATED STRUCTURES OF THE CME-DRIVEN SHOCK WE WILL CALCULATE THE SPECTRAL SHAPE OF SEPS IN THE SOURCE REGION. THE RESULT CAN ALSO SERVE AS AN INPUT TO THE SUBSEQUENT INTERPLANETARY TRANSPORT PROCESS. IF THE SECOND HYPOTHESIS IS PROVED WE WILL EXAMINE THE DEPENDENCE OF THE SPECTRAL PROPERTIES AND ITS Q/A CORRELATION ON THE INTERPLANETARY TRANSPORT PROCESSES. COMBINING WITH THE ENERGY SPECTRA OBTAINED FROM OTHER CME-DRIVEN SHOCKS OR SOLAR FLARES SIMULATIONS BY OTHER MEMBERS OF THE TEAM WE COULD FORECAST THE ENERGETIC PARTICLE FLUX AND TOTAL RADIATION AT EARTH.