The long-term variation in the Earth's volume

Abstract

Satellite observations of the long-term radius variations of the Earth are investigated. The observed variations are shown to have a trend with slope of 3.1 mm a−1 and random deflections. The residuals are presented as a row of the instant events by using a special mathematical method, which is based on calculation of the co-variation function. The co-variation function is presented as a sum of the exponential functions. The longest time of co-variations is 84 days, which might be linked to the ocean level aligning. Random deflections are transformed to remove the effect of the signal smoothing by the aligning process and the transformed signal is presented as a succession of the instant inclusions. The row of the moments of the inclusions is compared with the row of the earthquake origin times for the same time interval. Both rows have the same frequencies if the magnitudes of earthquakes are more than 7.3, which is the magnitude level of a tsunami earthquake. Both rows are presented as a sum of the uniform succession (frequency 0.00909 day−1) and random component. The random components of both rows are compared and the correlation coefficient is found to be 0.97. This shows that the processes involved in the increase of the Earth's volume and in earthquakes (magnitude > 7.3) have the same origin events.