THE PROPOSAL IS A PART OF A LARGE COLLABORATIVE PROJECT LED BY DR NAGI MANSOUR(NASA). THE PROPOSED EFFORT OF THE NJIT IN COLLABORATION WITH STANFORDHELIOSEISMOLOGY GROUP WILL BE FOCUSED ON THE DEVELOPMENT OF HELIOSEISMOLOGY DATAANALYSIS METHODS HELIOSEISMOLOGY MODELING AND DATA ASSIMILATION FOR PROVIDINGROBUST OBSERVATIONAL DATA AND THEIR INTERPRETATION FOR THESE OBJECTIVES. THE PROPOSEDSCOPE OF WORK INCLUDES THE FOLLOWING TASKS:A. DETAILED ANALYSIS OF THE CROSS-CORRELATION FUNCTION OF SOLAR OSCILLATIONS FOR OPTIMALDETECTION OF THE EMERGING FLUX SIGNAL DEVELOPMENT OF A FAST OPTIMAL MEASUREMENTSCHEME AND TRAVEL-TIME FITTING METHOD INVESTIGATION OF SYSTEMATIC AND RANDOM ERRORS;B. STATISTICAL ANALYSIS OF THE EMERGING FLUX SIGNALS DETERMINATION OF THE EMERGENCEDETECTION CRITERIA AND THRESHOLD CHARACTERIZATION OF THE EMERGING FLUX DATA IN TERMS OFTHE TRAVEL-TIME ANOMALY STRENGTH SPATIAL AND TEMPORAL BEHAVIOR DISTORTION OF THECROSS-CORRELATION FUNCTION AND ALSO IN TERMS OF THE RELATIONSHIP TO THE STRUCTURE EVOLUTION AND ACTIVITY OF MAGNETIC REGION AFTER THE MERGENCE;C. DEVELOPMENT OF NUMERICAL MHD SIMULATIONS OF HELIOSEISMOLOGY DATA FOR REALISTICMODELS OF EMERGING MAGNETIC FLUX (INCLUDING VARIATION OF THE THERMODYNAMICPARAMETERS MAGNETIC FIELD AND ASSOCIATED PLASMA FLOWS) VALIDATION AND TESTING THEHELIOSEISMOLOGY DATA ANALYSIS PROCEDURES AND CODES USING THE NUMERICAL SIMULATIONDATA;D. INVESTIGATION OF THE RELATIONSHIP BETWEEN THE HELIOSEISMOLOGY RESULTS AND EMERGINGFLUX PROPERTIES FOR CONSTRAINING THE MODELS OF EMERGING FLUX AND DETERMINING THEMODEL STATE FOR MATHEMATICAL DATA ASSIMILATION METHODS;E. IMPROVEMENT OF FAR-SIDE IMAGING TECHNIQUE BY IMPLEMENTING AND OPTIMIZING THETIME-DISTANCE HELIOSEISMOLOGY METHOD; VERIFICATION AND TESTING OF THE FAR IMAGING BYUSING THE NUMERICAL MHD SIMULATIONS; COMPARISON WITH THE TRADITIONAL HOLOGRAPHYTECHNIQUE;F. CHARACTERIZATION OF THE SUBSURFACE FLOW MAPS IN TERMS OF THE MAGNETIC FLUXTRANSPORT COMPARISON WITH THE SURFACE FLUX TRANSPORT DATA FROM CORRELATION TRACKINGANALYSIS OF MAGNETIC FEATURES; DETERMINATION OF THE MERIDIONAL CIRCULATION AND ZONALFLOWS; INVESTIGATION OF SYSTEMATIC AND RANDOM ERRORS AND PROVIDING THE FLOW DATA FORTHE GLOBAL MHD FLUX TRANSPORT MODELING