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The Heat of the Earth

Many people suppose that the evidence from radioactive dating of
minerals in rocks proves the earth must be of great age, at least a
few billion years, but the concentration of radioactive isotopes in
the rocks of the crust may be too high for an ancient earth. As the
atoms of radioactive materials disintegrate, heat is generated and
temperatures rise. Heat conduction in rocks is very slow. If the
abundance of the long-lived isotopes uranium (U235 and U238),
potassium (K40), and thorium (Th232) were similar in the earth's
mantle and the continental crust, the heat generated would have soon
melted the entire earth.

So, geologists have to assume these radioactive isotopes which occur
in crustal rocks are absent (or at least, much less abundant) in the
earth's interior, in order to support their idea that the earth is
billions of years old. It is assumed the radioactive isotopes are
confined to rocks of the crust, and particularly the continental
rocks, especially granite. The mechanism of differentiation is
questionable, as well as the evidence for such a process.
Differentiation mechanisms that have been proposed assumed the earth
was once completely molten, but this now seems to be incorrect.

I see the assumption about the depletion of long-lived radioactive
isotopes in the earth's interior as the big weakness of radioactive
dating theories that are generally regarded as very persuasive
arguments for an ancient earth.

The curious thing is, plate tectonics theory says the rocks of the
crust and of the ocean floor are being recycled back down into the
deepest parts of the mantle. Would not the subduction process, if it
occurs, carry down radioactive isotopes from the surface rocks as
well?

Far from providing evidence for an earth that is billions of year old,
radioactive isotope distributions within the earth may show the
earth's formation could not have been very long ago!

In the last century William Thompson (Lord Kelvin) [See bio]
investigated the time required for the earth to cool to its present
temperature, assuming it was originally molten. His papers challenged
the demands of uniformitarian geologists for the immense age of the
earth by placing upper limits on the amount of time available. Lord
Kelvin announced that not more than 40  million years could have
passed since the earth solidified. Because of Kelvin's enormous
prestige and high standing as an authority in science, uniformitarian
geologists were seriously embarrassed by this result. A long
controversy followed.

The phenomenon of radioactivity was discovered by French physicist A.
Henri Becquerel in 1896. In 1905, Ernest Rutherford suggested that
radioactive minerals could be used to date rocks. It seemed that
radioactivity also provided an additional source for heat within the
earth that could remove the constraints on the earth's age Lord
Kelvin's calculations had imposed on the uniformitarians. T. Mellard
Reade expressed some of the relief geologists now felt when he wrote:
"The bugbear of a narrow physical limit to geological time being got
rid of, we are free to move in our own field of science."

Extending the Earth's Age

In the early days after the discovery of radioactivity no one knew
whether it would provide evidence that the earth is heating up, or in
a steady state, or cooling from a former molten condition as Lord
Kelvin had postulated for his calculations. This would depend on how
much radioactive material exists within the earth, and this
information was unavailable. English geologist Arthur Holmes figured
that if one knew the earth's age, (and he thought he did) he could
estimate how much radioactive material the earth contains. He made
measurements of rates of various geologic processes, such as sediment
accumulation, assuming the validity of Lyell's principle of
uniformitarianism.

Holmes was largely responsible for the inflation of the earth's age in
this century. In a paper on radioactivity he quoted the following
statement about his method of reasoning, by his friend L.H. Adams
[Holmes, A. 1925, p. 508]:

It remained for Holmes to make the bold step which reconciles in a
satisfactory manner all the factors involved. Instead of attempting
to calculate the age of the earth, and thence the interior
temperatures, from the surface gradient, he started with the age of
the earth as determined by other means, and from that datum
calculated the total amount of radioactive material in the earth
and thence the temperatures at various depths.

One of these "other means" was evidently the time required for
evolution to occur, as Holmes was quite concerned to show that the
earth had remained favourable for life. He wrote [Holmes, A. 1937. p.
28]:

The work of Darwin and Wallace showed that the time required for
the progress of organic evolution must have been very great... The
panorama of life in the past implies a vast stretch of time...

Earth's Heat Flow

Data on average radioactive isotope content and heat production rates
in various rocks is available in many geology and geochemistry texts.

Geophysicist H. Jeffries said each cubic cm of average granite
supplies heat at the rate of 5 x 10-13 cal/sec. [Jeffries, 1976, p.
402] The total observed heat flow from the earth (about 10-6 cal/cm2
sec) could be supplied by the heat produced by the radioactive
isotopes in a layer of average granite 20 km thick. This can be
interpreted as evidence the earth is young, and is heating up.

At present, however, that possibility is automatically ruled out by
most geologists, who prefer to believe instead that the radioactive
isotopes U235, U238, K40, and Th232 are absent or much less abundant
in the earth's interior than in rocks of the crust. Radioactive
isotopes in basalts are far less abundant than in granite.

What could explain the accumulation of the minerals containing
radioactive isotopes in the continental crust? In 1930 V.M Goldschmidt
advanced a theory to address this problem; he proposed that large
atoms of uranium and thorium in a cooling melt (of a formerly molten
earth) could not easily fit into crystal lattices of silicate minerals
so remained in the melt, ascending higher and higher, eventually
becoming incorporated into the crust. More recent workers have
abandoned the assumption of a formerly molten earth, but still rely on
Goldschmidt's differentiaton mechanism.

V.N. Zharkov [Zharkov, 1986, p. 106] quotes Vernadskii:

It is unquestionably the case that the observed thermal regime of
our planet can only exist under conditions such that the amount of
uranium and thorium decreases rapidly for even very small depths
below the surface.

This must be so, they say, (assuming the earth is of great age),
because if heat producing radioactive isotopes existed in the minerals
of the earth's interior in the high concentrations we find in crustal
rocks of the continents, the heat would have already melted the earth.
The alternative of a young earth, of course is unacceptable, except
for creationists.

The question remains, how come the hypothetical "subduction" mechanism
of plate tectonics theory does not return the uranium, thorium, and
potassium-40 of crustal rocks down into the mantle?

And, the mechanism by which the radioactive isotopes could become
differentiated into the crust remains a problem. Verhoogen wrote
[Verhoogen, 1979 p. 27]:

There is no generally recognized mechanism by which radioactive
elements become heavily concentrated in the uppermost continental
crust.

Heat production rates due to radioactivity may well be an excellent
argument for a young earth, once we penetrate the web of evolutionary
assumptions.

References

* Holmes, A. 1925. Radioactivity and the earth's thermal history,
Part V: The control of geological history by radioactivity.
Geological Magazine vol 62(12):534-544.
* Holmes, A. 1937. The age of the earth, T. Nelson & Sons.
* Jeffries, H. 1976. The Earth, Sixth Ed. Cambridge University
Press.
* Reade, T. Mellard. 1906. Radium and the radial shrinkage of the
earth. Geological Magazine Series 5 Vol 3, 79-80.
* Verhoogen, J. 1979. Energetics of the earth, National Academy
Press, Washington.
* Zharkov, V.N. 1986. Interior Structure of the Earth and Planets.
Harwood Academy Press, London, 1986.
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© Copyright 1996 by Douglas E. Cox
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