Monday, July 3, 2023

Melting Glaciers & Ground Water Overuse Displace Earth's Rotation Axis

 

                                    Earth's axis tilted at various points in last 17 yrs.

As it moves through space, every first year college physics student knows the Earth wobbles like a slightly displaced gyroscope. This is partly because it bulges at the Equator and partly because air masses are constantly whirling through the atmosphere and water is sloshing around in the oceans, pulling the planet ever-so-slightly this way and that.  And then, there is the matter of its wandering axis.

For decades, geo-scientists had been watching the average position of our planet’s rotational axis, the imaginary rod around which it turns, gently wander south, away from the geographic North Pole and toward Canada. One such strong frequency component is known as "the Chandler wobble" - centered about a period of 420 days or roughly 1 1/6 yrs.  Theoretically, a damping should be present on the order of 10-20 years but not such effect has been observed.  This has led geophysicists to posit some kind of random excitation to keep the wobble going. But maybe this has been staring us in the face the whole time.

In time, researchers came to a startling realization about what had happened. Accelerated melting of the polar ice sheets and mountain glaciers had changed the way mass was distributed around the planet enough to influence its spin. The spin axis, to fix ideas,  has made a sharp turn and has started heading east. One main cause is that Earth’s crust and mantle are springing back after being covered for millenniums by gigantic ice sheets, rebounding like a mattress unburdened of a sleeper. This has been steadily changing the balance of mass around the planet.

More recently, the balance has also been altered by factors more closely linked to human activity and the global climate. These include the melting of mountain glaciers and the Greenland and Antarctic ice sheets, changes in soil moisture, and our impounding of water behind dams.

Another big factor, according to the study by Dr. Ki-Weon Seo and his colleagues at Seoul National University, is groundwater depletion. In terms of the effect on Earth’s axis, pumping up water from underground was second in magnitude, between 1993 and 2010, only to the post-glacier adjustment of the planet’s crust, the study found.

Water experts have long warned of the consequences of groundwater overuse, particularly as water from underground aquifers becomes an increasingly vital resource in drought-stressed areas like the American West. When water is pumped out of the ground but not replenished, the land can sink, damaging homes and infrastructure and also shrinking the amount of underground space that can hold water thereafter.

Between 1960 and 2000, worldwide groundwater depletion more than doubled, to about 75 trillion gallons a year, scientists estimate. Since then, satellites that measure variations in Earth’s gravity have revealed the staggering extent to which groundwater supplies have declined in particular regions, including India and the Central Valley of California.

At issue is how an initially symmetrically rotating body - like a top or gyroscope - with moment of inertia I,  would alter so that its axis 'wanders' and the motion is no longer predictable.  For a completely symmetric Earth one would have at any point of its rotation:

I=  I2

So that, for the condition shown below - where z is the Earth's axis of symmetry:



The two axes of symmetry must be equal.  However, in reality this is not the case and we find that because the Earth is approximately symmetrical about the polar axis but slightly flattened at the poles, we have the more complex situation illustrated below:


For which:

(I 2   -  I 1) / I 1   =   0.00327

Now add in climate change factors, such as melting glaciers, and  w1 is affected.  Then add in the groundwater depletion and w2 is affected. Take the resultant, 

w1 i +  w 2

and the position of Earth's axis is affected, e.g. with  w 3 relative to w. To be sure other forces might also be pulling Earth’s axis in its new direction but aren’t yet fully understood, according to Clark R. Wilson, a geophysicist at the University of Texas at Austin and another author of the study.  In his words:

"It’s possible, for example, there’s something in Earth’s fluid core that’s going on, that’s contributing as well,” 

Even so, the latest discovery points to new possibilities for using information about Earth’s spin to study the climate, Dr. Wilson said.

Because scientists have collected highly precise data on the position of Earth’s axis during much of the 20th century, they might be able to use it to understand shifts in groundwater use that took place before the most modern and reliable data became available.   This would mean comparing the changes in the moments of inertia - say arising from the human agency factors (like massive groundwater depletion) with those associated with the established variations such as the Chandler wobble.

We also cannot ignore the effects of deep earthquakes and the mantle changes underlying them, possibly producing discontinuous changes in the inertia tensor large enough to incept major spin axis displacements.

See Also:

New estimates of the inertia tensor and rotation of the triaxial nonrigid Earth - Chen - 2010 - Journal of Geophysical Research: Solid Earth - Wiley Online Library










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