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Geophysics

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(Redirected from Geophysical)
For the journal, see Geophysics (journal).
Not to be confused with Physical geography.

false color image
Age of the sea floor. Much of the dating information comes from magnetic anomalies.[1]
Computer simulation of the Earth's magnetic field in a period of normal polarity between reversals[2]

Geophysics (/ˌdʒiːoʊˈfɪzɪks/) is a subject of natural science concerned with the physical processes and physical properties of the Earth and its surrounding space environment, and the use of quantitative methods for their analysis. Geophysicists, who usually study geophysics, physics, or one of the Earth sciences at the graduate level, complete investigations across a wide range of scientific disciplines. The term geophysics classically refers to solid earth applications: Earth's shape; its gravitational, magnetic fields, and electromagnetic fields ; its internal structure and composition; its dynamics and their surface expression in plate tectonics, the generation of magmas, volcanism and rock formation.[3] However, modern geophysics organizations and pure scientists use a broader definition that includes the water cycle including snow and ice; fluid dynamics of the oceans and the atmosphere; electricity and magnetism in the ionosphere and magnetosphere and solar-terrestrial physics; and analogous problems associated with the Moon and other planets.[3][4][5][6][7][8]

Although geophysics was only recognized as a separate discipline in the 19th century, its origins date back to ancient times. The first magnetic compasses were made from lodestones, while more modern magnetic compasses played an important role in the history of navigation. The first seismic instrument was built in 132 AD. Isaac Newton applied his theory of mechanics to the tides and the precession of the equinox; and instruments were developed to measure the Earth's shape, density and gravity field, as well as the components of the water cycle. In the 20th century, geophysical methods were developed for remote exploration of the solid Earth and the ocean, and geophysics played an essential role in the development of the theory of plate tectonics.

Geophysics is applied to societal needs, such as mineral resources, mitigation of natural hazards and environmental protection.[4] In exploration geophysics, geophysical survey data are used to analyze potential petroleum reservoirs and mineral deposits, locate groundwater, find archaeological relics, determine the thickness of glaciers and soils, and assess sites for environmental remediation.

Physical phenomena

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Geophysics is a highly interdisciplinary subject, and geophysicists contribute to every area of the Earth sciences, while some geophysicists conduct research in the planetary sciences. To provide a more clear idea on what constitutes geophysics, this section describes phenomena that are studied in physics and how they relate to the Earth and its surroundings. Geophysicists also investigate the physical processes and properties of the Earth, its fluid layers, and magnetic field along with the near-Earth environment in the Solar System, which includes other planetary bodies.

Gravity

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Image of globe combining color with topography.
A map of deviations in gravity from a perfectly smooth, idealized Earth
Main article: Gravity of Earth
Further information: Physical geodesy and Gravimetry

The gravitational pull of the Moon and Sun gives rise to two high tides and two low tides every lunar day, or every 24 hours and 50 minutes. Therefore, there is a gap of 12 hours and 25 minutes between every high tide and between every low tide.[9]

Gravitational forces make rocks press down on deeper rocks, increasing their density as the depth increases.[10] Measurements of gravitational acceleration and gravitational potential at the Earth's surface and above it can be used to look for mineral deposits (see gravity anomaly and gravimetry).[11] The surface gravitational field provides information on the dynamics of tectonic plates. The geopotential surface called the geoid is one definition of the shape of the Earth. The geoid would be the global mean sea level if the oceans were in equilibrium and could be extended through the continents (such as with very narrow canals).[12]

Heat flow

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Main article: Geothermal gradient
Pseudocolor image in vertical profile.
A model of thermal convection in the Earth's mantle. The thin red columns are mantle plumes.

The Earth is cooling, and the resulting heat flow generates the Earth's magnetic field through the geodynamo and plate tectonics through mantle convection.[13] The main sources of heat are: primordial heat due to Earth's cooling and radioactivity in the planets upper crust.[14] There is also some contributions from phase transitions. Heat is mostly carried to the surface by thermal convection, although there are two thermal boundary layers – the core–mantle boundary and the lithosphere – in which heat is transported by conduction.[15] Some heat is carried up from the bottom of the mantle by mantle plumes. The heat flow at the Earth's surface is about 4.2 × 1013 W, and it is a potential source of geothermal energy.[16]

Vibrations

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Main article: Seismology
Deformed blocks with grids on surface.
Illustration of the deformations of a block by body waves and surface waves (see seismic wave)

Seismic waves are vibrations that travel through the Earth's interior or along its surface.[17] The entire Earth can also oscillate in forms that are called normal modes or free oscillations of the Earth. Ground motions from waves or normal modes are measured using seismographs. If the waves come from a localized source such as an earthquake or explosion, measurements at more than one location can be used to locate the source. The locations of earthquakes provide information on plate tectonics and mantle convection.[18][19]

Recording of seismic waves from controlled sources provides information on the region that the waves travel through. If the density or composition of the rock changes, waves are reflected. Reflections recorded using Reflection Seismology can provide a wealth of information on the structure of the earth up to several kilometers deep and are used to increase our understanding of the geology as well as to explore for oil and gas.[11] Changes in the travel direction, called refraction, can be used to infer the deep structure of the Earth.[19]

Earthquakes pose a risk to humans. Understanding their mechanisms, which depend on the type of earthquake (e.g., intraplate or deep focus), can lead to better estimates of earthquake risk and improvements in earthquake engineering.[20]

Electricity

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Although we mainly notice electricity during thunderstorms, there is always a downward electric field near the surface that averages 120 volts per meter.[21] Relative to the solid Earth, the ionization of the planet's atmosphere is a result of the galactic cosmic rays penetrating it, which leaves it with a net positive charge.[22] A current of about 1800 amperes flows in the global circuit.[21] It flows downward from the ionosphere over most of the Earth and back upwards through thunderstorms. The flow is manifested by lightning below the clouds and sprites above.

A variety of electric methods are used in geophysical survey. Some measure spontaneous potential, a potential that arises in the ground because of human-made or natural disturbances. Telluric currents flow in Earth and the oceans. They have two causes: electromagnetic induction by the time-varying, external-origin geomagnetic field and motion of conducting bodies (such as seawater) across the Earth's permanent magnetic field.[23] The distribution of telluric current density can be used to detect variations in electrical resistivity of underground structures. Geophysicists can also provide the electric current themselves (see induced polarization and electrical resistivity tomography).

Electromagnetic waves

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Electromagnetic waves occur in the ionosphere and magnetosphere as well as in Earth's outer core. Dawn chorus is believed to be caused by high-energy electrons that get caught in the Van Allen radiation belt. Whistlers are produced by lightning strikes. Hiss may be generated by both. Electromagnetic waves may also be generated by earthquakes (see seismo-electromagnetics).

In the highly conductive liquid iron of the outer core, magnetic fields are generated by electric currents through electromagnetic induction. Alfvén waves are magnetohydrodynamic waves in the magnetosphere or the Earth's core. In the core, they probably have little observable effect on the Earth's magnetic field, but slower waves such as magnetic Rossby waves may be one source of geomagnetic secular variation.[24]

Electromagnetic methods that are used for geophysical survey include transient electromagnetics, magnetotellurics, surface nuclear magnetic resonance and electromagnetic seabed logging.[25]

Magnetism

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Further information: Earth's magnetic field, Aeromagnetic survey, and Paleomagnetism

The Earth's magnetic field protects the Earth from the deadly solar wind and has long been used for navigation. It originates in the fluid motions of the outer core.[24] The magnetic field in the upper atmosphere gives rise to the auroras.[26]

Diagram with field lines, axes and magnet lines.
Earth's dipole axis (pink line) is tilted away from the rotational axis (blue line).

The Earth's field is roughly like a tilted dipole, but it changes over time (a phenomenon called geomagnetic secular variation). Mostly the geomagnetic pole stays near the geographic pole, but at random intervals averaging 440,000 to a million years or so, the polarity of the Earth's field reverses. These geomagnetic reversals, analyzed within a Geomagnetic Polarity Time Scale, contain 184 polarity intervals in the last 83 million years, with change in frequency over time, with the most recent brief complete reversal of the Laschamp event occurring 41,000 years ago during the last glacial period. Geologists observed geomagnetic reversal recorded in volcanic rocks, through magnetostratigraphy correlation (see natural remanent magnetization) and their signature can be seen as parallel linear magnetic anomaly stripes on the seafloor. These stripes provide quantitative information on seafloor spreading, a part of plate tectonics. They are the basis of magnetostratigraphy, which correlates magnetic reversals with other stratigraphies to construct geologic time scales.[27] In addition, the magnetization in rocks can be used to measure the motion of continents.[24]

Radioactivity

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Further information: Radiometric dating
Diagram with compound balls representing nuclei and arrows.
Example of a radioactive decay chain (see Radiometric dating)

Radioactive decay accounts for about 80% of the Earth's internal heat, powering the geodynamo and plate tectonics.[28] The main heat-producing isotopes are potassium-40, uranium-238, uranium-235, and thorium-232.[29] Radioactive elements are used for radiometric dating, the primary method for establishing an absolute time scale in geochronology.

Unstable isotopes decay at predictable rates, and the decay rates of different isotopes cover several orders of magnitude, so radioactive decay can be used to accurately date both recent events and events in past geologic eras.[30] Radiometric mapping using ground and airborne gamma spectrometry can be used to map the concentration and distribution of radioisotopes near the Earth's surface, which is useful for mapping lithology and alteration.[31][32]

Fluid dynamics

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Main article: Geophysical fluid dynamics

Fluid motions occur in the magnetosphere, atmosphere, ocean, mantle and core. Even the mantle, though it has an enormous viscosity, flows like a fluid over long time intervals. This flow is reflected in phenomena such as isostasy, post-glacial rebound and mantle plumes. The mantle flow drives plate tectonics and the flow in the Earth's core drives the geodynamo.[24]

Geophysical fluid dynamics is a primary tool in physical oceanography and meteorology. The rotation of the Earth has profound effects on the Earth's fluid dynamics, often due to the Coriolis effect. In the atmosphere, it gives rise to large-scale patterns like Rossby waves and determines the basic circulation patterns of storms. In the ocean, they drive large-scale circulation patterns as well as Kelvin waves and Ekman spirals at the ocean surface.[33] In the Earth's core, the circulation of the molten iron is structured by Taylor columns.[24]

Waves and other phenomena in the magnetosphere can be modeled using magnetohydrodynamics.

Mineral physics

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Main article: Mineral physics

The physical properties of minerals must be understood to infer the composition of the Earth's interior from seismology, the geothermal gradient and other sources of information. Mineral physicists study the elastic properties of minerals; their high-pressure phase diagrams, melting points and equations of state at high pressure; and the rheological properties of rocks, or their ability to flow. Deformation of rocks by creep make flow possible, although over short times the rocks are brittle. The viscosity of rocks is affected by temperature and pressure, and in turn, determines the rates at which tectonic plates move.[10]

Water is a very complex substance and its unique properties are essential for life.[34] Its physical properties shape the hydrosphere and are an essential part of the water cycle and climate. Its thermodynamic properties determine evaporation and the thermal gradient in the atmosphere. The many types of precipitation involve a complex mixture of processes such as coalescence, supercooling and supersaturation.[35] Some precipitated water becomes groundwater, and groundwater flow includes phenomena such as percolation, while the conductivity of water makes electrical and electromagnetic methods useful for tracking groundwater flow. Physical properties of water such as salinity have a large effect on its motion in the oceans.[33]

The many phases of ice form the cryosphere and come in forms like ice sheets, glaciers, sea ice, freshwater ice, snow, and frozen ground (or permafrost).[36]

Regions of the Earth

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Size and form of the Earth

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Contrary to popular belief, the earth is not entirely spherical but instead generally exhibits an ellipsoid shape- which is a result of the centrifugal forces the planet generates due to its constant motion.[37] These forces cause the planets diameter to bulge towards the Equator and results in the ellipsoid shape.[37] Earth's shape is constantly changing, and different factors including glacial isostatic rebound (large ice sheets melting causing the Earth's crust to the rebound due to the release of the pressure[38]), geological features such as mountains or ocean trenches, tectonic plate dynamics, and natural disasters can further distort the planet's shape.[37]

Structure of the interior

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Main article: Structure of Earth
Diagram with concentric shells and curved paths.
Seismic velocities and boundaries in the interior of the Earth sampled by seismic waves

Evidence from seismology, heat flow at the surface, and mineral physics is combined with the Earth's mass and moment of inertia to infer models of the Earth's interior – its composition, density, temperature, pressure. For example, the Earth's mean specific gravity (5.515) is far higher than the typical specific gravity of rocks at the surface (2.7–3.3), implying that the deeper material is denser. This is also implied by its low moment of inertia ( 0.33 M R2, compared to 0.4 M R2 for a sphere of constant density). However, some of the density increase is compression under the enormous pressures inside the Earth. The effect of pressure can be calculated using the Adams–Williamson equation. The conclusion is that pressure alone cannot account for the increase in density. Instead, we know that the Earth's core is composed of an alloy of iron and other minerals.[10]

Reconstructions of seismic waves in the deep interior of the Earth show that there are no S-waves in the outer core. This indicates that the outer core is liquid, because liquids cannot support shear. The outer core is liquid, and the motion of this highly conductive fluid generates the Earth's field. Earth's inner core, however, is solid because of the enormous pressure.[12]

Reconstruction of seismic reflections in the deep interior indicates some major discontinuities in seismic velocities that demarcate the major zones of the Earth: inner core, outer core, mantle, lithosphere and crust. The mantle itself is divided into the upper mantle, transition zone, lower mantle and D′′ layer. Between the crust and the mantle is the Mohorovičić discontinuity.[12]

The seismic model of the Earth does not by itself determine the composition of the layers. For a complete model of the Earth, mineral physics is needed to interpret seismic velocities in terms of composition. The mineral properties are temperature-dependent, so the geotherm must also be determined. This requires physical theory for thermal conduction and convection and the heat contribution of radioactive elements. The main model for the radial structure of the interior of the Earth is the preliminary reference Earth model (PREM). Some parts of this model have been updated by recent findings in mineral physics (see post-perovskite) and supplemented by seismic tomography. The mantle is mainly composed of silicates, and the boundaries between layers of the mantle are consistent with phase transitions.[10]

The mantle acts as a solid for seismic waves, but under high pressures and temperatures, it deforms so that over millions of years it acts like a liquid. This makes plate tectonics possible.

Magnetosphere

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Main article: Magnetosphere
Diagram with colored surfaces and lines.
Schematic of Earth's magnetosphere. The solar wind flows from left to right.

If a planet's magnetic field is strong enough, its interaction with the solar wind forms a magnetosphere. Early space probes mapped out the gross dimensions of the Earth's magnetic field, which extends about 10 Earth radii towards the Sun. The solar wind, a stream of charged particles, streams out and around the terrestrial magnetic field, and continues behind the magnetic tail, hundreds of Earth radii downstream. Inside the magnetosphere, there are relatively dense regions of solar wind particles called the Van Allen radiation belts.[26]

Methods

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Geodesy

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Main article: Geodesy

Geophysical measurements are generally at a particular time and place. Accurate measurements of position, along with earth deformation and gravity, are the province of geodesy. While geodesy and geophysics are separate fields, the two are so closely connected that many scientific organizations such as the American Geophysical Union, the Canadian Geophysical Union and the International Union of Geodesy and Geophysics encompass both.[39]

Absolute positions are most frequently determined using the global positioning system (GPS). A three-dimensional position is calculated using messages from four or more visible satellites and referred to the 1980 Geodetic Reference System. An alternative, optical astronomy, combines astronomical coordinates and the local gravity vector to get geodetic coordinates. This method only provides the position in two coordinates and is more difficult to use than GPS. However, it is useful for measuring motions of the Earth such as nutation and Chandler wobble. Relative positions of two or more points can be determined using very-long-baseline interferometry.[39][40][41]

Gravity measurements became part of geodesy because they were needed to related measurements at the surface of the Earth to the reference coordinate system. Gravity measurements on land can be made using gravimeters deployed either on the surface or in helicopter flyovers. Since the 1960s, the Earth's gravity field has been measured by analyzing the motion of satellites. Sea level can also be measured by satellites using radar altimetry, contributing to a more accurate geoid.[39] In 2002, NASA launched the Gravity Recovery and Climate Experiment (GRACE), wherein two twin satellites map variations in Earth's gravity field by making measurements of the distance between the two satellites using GPS and a microwave ranging system. Gravity variations detected by GRACE include those caused by changes in ocean currents; runoff and ground water depletion; melting ice sheets and glaciers.[42]

Satellites and space probes

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Satellites in space have made it possible to collect data from not only the visible light region, but in other areas of the electromagnetic spectrum. The planets can be characterized by their force fields: gravity and their magnetic fields, which are studied through geophysics and space physics.

Measuring the changes in acceleration experienced by spacecraft as they orbit has allowed fine details of the gravity fields of the planets to be mapped. For example, in the 1970s, the gravity field disturbances above lunar maria were measured through lunar orbiters, which led to the discovery of concentrations of mass, mascons, beneath the Imbrium, Serenitatis, Crisium, Nectaris and Humorum basins.[43]

Global positioning systems (GPS) and geographical information systems (GIS)

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Further information: GIS

Since geophysics is concerned with the shape of the Earth, and by extension the mapping of features around and in the planet, geophysical measurements include high accuracy GPS measurements. These measurements are processed to increase their accuracy through differential GPS processing. Once the geophysical measurements have been processed and inverted, the interpreted results are plotted using GIS. Programs such as ArcGIS and Geosoft were built to meet these needs and include many geophysical functions that are built-in, such as upward continuation, and the calculation of the measurement derivative such as the first-vertical derivative.[11][44] Many geophysics companies have designed in-house geophysics programs that pre-date ArcGIS and GeoSoft in order to meet the visualization requirements of a geophysical dataset.

Remote sensing

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Main article: Remote sensing

Exploration geophysics is a branch of applied geophysics that involves the development and utilization of different seismic or electromagnetic methods which the aim of investigating different energy, mineral and water resources.[45] This is done through the uses of various remote sensing platforms such as; satellites, aircraft, boats, drones, borehole sensing equipment and seismic receivers. These equipment are often used in conjunction with different geophysical methods such as magnetic, gravimetry, electromagnetic, radiometric, barometry methods in order to gather the data. The remote sensing platforms used in exploration geophysics are not perfect and need adjustments done on them in order to accurately account for the effects that the platform itself may have on the collected data. For example, when gathering aeromagnetic data (aircraft gathered magnetic data) using a conventional fixed-wing aircraft- the platform has to be adjusted to account for the electromagnetic currents that it may generate as it passes through Earth's magnetic field.[11] There are also corrections related to changes in measured potential field intensity as the Earth rotates, as the Earth orbits the Sun, and as the moon orbits the Earth.[11][44]

Signal processing

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Main article: Signal processing

Geophysical measurements are often recorded as time-series with GPS location. Signal processing involves the correction of time-series data for unwanted noise or errors introduced by the measurement platform, such as aircraft vibrations in gravity data. It also involves the reduction of sources of noise, such as diurnal corrections in magnetic data.[11][44] In seismic data, electromagnetic data, and gravity data, processing continues after error corrections to include computational geophysics which result in the final interpretation of the geophysical data into a geological interpretation of the geophysical measurements[11][44]

History

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Main article: History of geophysics

Geophysics emerged as a separate discipline only in the 19th century, from the intersection of physical geography, geology, astronomy, meteorology, and physics.[46][47] The first known use of the word geophysics was in German ("Geophysik") by Julius Fröbel in 1834.[48] However, many geophysical phenomena – such as the Earth's magnetic field and earthquakes – have been investigated since the ancient era.

Ancient and classical eras

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Picture of ornate urn-like device with spouts in the shape of dragons
Replica of Zhang Heng's seismoscope, possibly the first contribution to seismology

The magnetic compass existed in China back as far as the fourth century BC. It was used as much for feng shui as for navigation on land. It was not until good steel needles could be forged that compasses were used for navigation at sea; before that, they could not retain their magnetism long enough to be useful. The first mention of a compass in Europe was in 1190 AD.[49]

In circa 240 BC, Eratosthenes of Cyrene deduced that the Earth was round and measured the circumference of Earth with great precision.[50] He developed a system of latitude and longitude.[51]

Perhaps the earliest contribution to seismology was the invention of a seismoscope by the prolific inventor Zhang Heng in 132 AD.[52] This instrument was designed to drop a bronze ball from the mouth of a dragon into the mouth of a toad. By looking at which of eight toads had the ball, one could determine the direction of the earthquake. It was 1571 years before the first design for a seismoscope was published in Europe, by Jean de la Hautefeuille. It was never built.[53]

Beginnings of modern science

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The 17th century had major milestones that marked the beginning of modern science. In 1600, William Gilbert release a publication titled De Magnete (1600) where he conducted series of experiments on both natural magnets (called 'loadstones') and artificially magnetized iron.[54] His experiments lead to observations involving a small compass needle (versorium) which replicated magnetic behaviours when subjected to a spherical magnet, along with it experiencing 'magnetic dips' when it was pivoted on a horizontal axis.[54] HIs findings led to the deduction that compasses point north due to the Earth itself being a giant magnet.[54]

In 1687 Isaac Newton published his work titled Principia which was pivotal in the development of modern scientific fields such as astronomy and physics.[55] In it, Newton both laid the foundations for classical mechanics and gravitation, as well as explained different geophysical phenomena such as the precession of the equinox (the orbit of whole star patterns along an ecliptic axis.[56] Newton's theory of gravity had gained so much success, that it resulted in changing the main objective of physics in that era to unravel natures fundamental forces, and their characterizations in laws.[55]

The first seismometer, an instrument capable of keeping a continuous record of seismic activity, was built by James Forbes in 1844.[53]

See also

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Notes

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  1. ^ Müller, R. Dietmar; Sdrolias, Maria; Gaina, Carmen; Roest, Walter R. (April 2008). "Age, spreading rates, and spreading asymmetry of the world's ocean crust". Geochemistry, Geophysics, Geosystems. 9 (4): Q04006. Bibcode:2008GGG.....9.4006M. doi:10.1029/2007GC001743. S2CID 15960331.
  2. ^ "Earth's Inconstant Magnetic Field". science@nasa. National Aeronautics and Space Administration. 29 December 2003. Retrieved 13 November 2018.
  3. ^ a b Sheriff 1991
  4. ^ a b IUGG 2011
  5. ^ AGU 2011
  6. ^ Gutenberg, B., 1929, Lehrbuch der Geophysik. Leipzig. Berlin (Gebruder Borntraeger).
  7. ^ Runcorn, S.K, (editor-in-chief), 1967, International dictionary of geophysics:. Pergamon, Oxford, 2 volumes, 1,728 pp., 730 fig
  8. ^ Geophysics, 1970, Encyclopaedia Britannica, Vol.10, p. 202-202
  9. ^ Ross 1995, pp. 236–242
  10. ^ a b c d Poirier 2000
  11. ^ a b c d e f g Telford, Geldart & Sheriff 1990
  12. ^ a b c Lowrie 2004
  13. ^ Davies 2001
  14. ^ "What is "Heat Flow"?". www.smu.edu. Retrieved 18 February 2024.
  15. ^ Fowler 2005
  16. ^ Pollack, Hurter & Johnson 1993
  17. ^ "Seismic wave | Earth's Interior Structure & Movement | Britannica". www.britannica.com. 12 January 2024. Retrieved 18 February 2024.
  18. ^ Shearer, Peter M. (2009). Introduction to seismology (2nd ed.). Cambridge: Cambridge University Press. ISBN 9780521708425.
  19. ^ a b Stein & Wysession 2003
  20. ^ Bozorgnia & Bertero 2004
  21. ^ a b Harrison & Carslaw 2003
  22. ^ Nicoll, Keri (April 2016). "Earth's electric atmosphere" (PDF). metlink.org. Retrieved 18 February 2024.
  23. ^ Lanzerotti & Gregori 1986
  24. ^ a b c d e Merrill, McElhinny & McFadden 1998
  25. ^ Stéphane, Sainson (2017). Electromagnetic seabed logging : a new tool for geoscientists. Springer. ISBN 978-3-319-45355-2.
  26. ^ a b Kivelson & Russell 1995
  27. ^ Opdyke & Channell 1996
  28. ^ Turcotte & Schubert 2002
  29. ^ Sanders 2003
  30. ^ Renne, Ludwig & Karner 2000
  31. ^ "Radiometrics". Geoscience Australia. Commonwealth of Australia. 15 May 2014. Retrieved 23 June 2014.
  32. ^ "Interpreting radiometrics". Natural Resource Management. Department of Agriculture and Food, Government of Western Australia. Archived from the original on 21 March 2012. Retrieved 23 June 2014.
  33. ^ a b Pedlosky 1987
  34. ^ Sadava et al. 2009
  35. ^ Sirvatka 2003
  36. ^ CFG 2011
  37. ^ a b c "Is the Earth round?". oceanservice.noaa.gov. Retrieved 18 February 2024.
  38. ^ US Department of Commerce, National Oceanic and Atmospheric Administration. "What is glacial isostatic adjustment?". oceanservice.noaa.gov. Retrieved 18 February 2024.
  39. ^ a b c National Research Council (U.S.). Committee on Geodesy 1985
  40. ^ Defense Mapping Agency 1984
  41. ^ Torge 2001
  42. ^ CSR 2011
  43. ^ Muller & Sjogren 1968
  44. ^ a b c d Reynolds 2011
  45. ^ "Energy Geosciences". Jackson School of Geosciences. Retrieved 18 February 2024.
  46. ^ Hardy & Goodman 2005
  47. ^ Schröder, W. (2010). "History of geophysics". Acta Geodaetica et Geophysica Hungarica. 45 (2): 253–261. doi:10.1556/AGeod.45.2010.2.9. S2CID 122239663.
  48. ^ Varga, P. (2009). "Common roots of modern seismology and of earth tide research. A historical overview". Journal of Geodynamics. 48 (3–5): 241–246. Bibcode:2009JGeo...48..241V. doi:10.1016/j.jog.2009.09.032. S2CID 129513373.
  49. ^ Temple 2006, pp. 162–166
  50. ^ Russo, Lucio (2004). The Forgotten Revolution. Berlin: Springer. p. 273–277.
  51. ^ Eratosthenes 2010
  52. ^ Temple 2006, pp. 177–181
  53. ^ a b Dewey & Byerly 1969
  54. ^ a b c "Review of "De Magnete"". pwg.gsfc.nasa.gov. Retrieved 18 February 2024.
  55. ^ a b Smith, George (2008), "Newton's Philosophiae Naturalis Principia Mathematica", in Zalta, Edward N. (ed.), The Stanford Encyclopedia of Philosophy (Winter 2008 ed.), Metaphysics Research Lab, Stanford University, retrieved 18 February 2024
  56. ^ Institute of Physics (18 February 2024). "Precession of the equinoxes". Retrieved 18 February 2024.

References

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