apne i, a - patenteecab maps pata ndtT bad ade ey — mo ayers et F AE TABLE OF CONTENTS TEXT I. Introduction... . cc cc cc wt et we ee ee ee tte te te ee te eee 1 II. Adaptation of the Polynomial Expansion Matrix Equation Method to the Air-Soil Interface Problem... 3 A. Exposure Rate Dependence on Soil Density......... 3 and Moisture Content......... ccc cee cee nner eees Error EStimatesS... ccc ee ccc ee cee eee et eens 5 6 Til. Radiation in Air Due to the Uniformly Distributed Naturally Occurring Sources in the Soil............ 8 B. C. D. A. B. C. D. IV. 5 Exposure Rate€S. 2... cee ee tcc et er eee eee ewe eee eens 9 Differential Energy Spectra............. peewee ees 10 Integral Exposure Rate Spectra... cc. vere nee cccees 11 Differential Angular Exposure Rates....... we eee 12 Radiation in Air Due-to Exponentially Distributed (Fallout) Sources in the Soil.......... 14 A. B. C. D. Ve. Exposure Rate Dependence on Air Density.......... Exposure Rate Dependence on Soil Composition Exposure Rates... eee ec ee eee ee ee te eet eee tees Differential Energy Spectra............00 cece »Integral Exposure Spectra... .... ccc ewe ee ees Angular Distributions... ... ce ew ee ee 15 17 17 17 CONCLUSIONS... 0. eee ee ee eee eee ee tect eeeeee 19 REfErenceS..... cc ec ee te ee we et tee tte ee eee eee ee wees 20