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Update foundations_seeing_underground_primer.rst (#238)
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james-blewman authored Dec 13, 2024
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Expand Up @@ -7,12 +7,12 @@ Geophysics primer
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Geophysical surveys are performed when information about the earth's subsurface is desired but direct sampling through expensive and invasive techniques such as drilling or trenching is insufficient, impractical or ill-advised. A survey may be as large as the whole Earth, as small as the top few meters of the subsurface, or anywhere in between.
Geophysical surveys are performed when information about the earth's subsurface is desired, but direct sampling through expensive and invasive techniques such as drilling or trenching is insufficient, impractical or ill-advised. A survey may be as large as the whole Earth, as small as the top few meters of the subsurface, or anywhere in between.

Measuring physical properties
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During a geophysical survey, energy is put into the earth and responses are recorded at the surface, in the air or in boreholes. Resulting data reveal information about the earth because the behavior of the energy within the ground is controlled by the distribution of the earth's physical properties. For instance, one basic physical property is magnetic susceptibility, which describes a rock's ability to become magnetized. This physical property provides information on rock type and structures because the rock's magnetic susceptibility relates directly to mineral type, to the chemical alteration processes. A second important physical property is electrical conductivity, which quantifies a material's ability to carry electrical current. Figure 2 illustrates one way that a geophysical survey can be carried out to provide information about the subsurface distribution of electrical conductivity.
During a geophysical survey, energy is put into the earth and responses are recorded at the surface, in the air or in boreholes. Resulting data reveal information about the earth because the behavior of the energy within the ground is controlled by the distribution of the earth's physical properties. For instance, one basic physical property is magnetic susceptibility, which describes a rock's ability to become magnetized. This physical property provides information on rock type and structures because the rock's magnetic susceptibility relates directly to mineral type and the chemical alteration processes. A second important physical property is electrical conductivity, which quantifies a material's ability to carry electrical current. Figure 2 illustrates one way a geophysical survey can be carried out to provide information about the subsurface distribution of electrical conductivity.

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Traditional interpretation
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Traditionally, useful information was extracted from geophysical field results by examining maps or line profiles of raw or filtered survey data. Such images are useful for estimating locations and quantities of buried materials, and to help choose locations for more invasive (and expensive) techniques such as drilling. For example, large scale maps of magnetic or gravity data often show geologic structure, or identify an anomalous region that might be associated with a desired target. As an example Figure 3 shows the magnetic data acquired at the Bathurst region of New Brunswick. The major features observed are related to geologic structure.
Traditionally, useful information was extracted from geophysical field results by examining maps or line profiles of raw or filtered survey data. Such images are useful for estimating locations and quantities of buried materials and to help choose locations for more invasive (and expensive) techniques such as drilling. For example, large-scale maps of magnetic or gravity data often show the geologic structure or identify an anomalous region that might be associated with a desired target. As an example, Figure 3 shows the magnetic data acquired at the Bathurst region of New Brunswick. The major features observed are related to geologic structure.


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The goal of the inverse problem is to find a mathematical model of the earth that produced the field observations. That is "what subsurface physical property distribution caused the data that were observed at the surface?" Earlier inversion solutions involved characterizing the earth by a few prisms or layers and finding geometrical and physical properties of these simplified earth models.
The goal of the inverse problem is to find a mathematical model of the earth that produced the field observations. That is, "What subsurface physical property distribution caused the data observed at the surface?" Earlier inversion solutions involved characterizing the earth by a few prisms or layers and finding geometrical and physical properties of these simplified earth models.

Due to the earth's extreme complexity, useful models often need to have many parameters, usually more than the number of data. This means that the problem of finding a model (i.e. estimating values for every parameter) is one in which there are more unknowns that data. Such problems do not have unique solutions, and this nonuniqueness is exacerbated when data are noisy or inaccurate. Formal inversion methods address these issues using well defined mathematical techniques. An appendix explains inversion in a little more detail.
Due to the earth's extreme complexity, useful models often need many parameters, usually more than the number of data. This means that the problem of finding a model (i.e. estimating values for every parameter) is one in which there are more unknowns than data. Such problems do not have unique solutions, and this nonuniqueness is exacerbated when data are noisy or inaccurate. Formal inversion methods address these issues using well-defined mathematical techniques. An appendix explains inversion in a little more detail.

Some benefits of applying rigorous inversion can be seen by comparing traditional map and pseudosection plots of the raw data to the information in 3D and 2D models obtained by inversion.

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