Chapter 10 – Geologic Time: Relative versus Absolute

This book contains exercises for a physical geology lab class. It is under development, with a full 1st edition release planned for Fall 2024.

The goals of this chapter are:

• Understand the principles of relative dating
• Apply these to unconformities and complicated geologic histories
• Evaluate geologic maps for age relationships
• Construct geologic history using radiometric ages

Before modern absolute dating methods were discovered and refined, determining the age of rock units was much more difficult. After much debate, the principles of relative dating evolved. While the relative dating methods are less precise, they are still useful in assessing the age of units relative to their contacts or each another. The seven principles of relative dating are:

1. Principle of uniformitarianism – Some simplify this as the present is the key to the past.  In other words, physical, chemical, and biologic processes now at work on and within the Earth have operated in the same manner for long periods of time and can account for all geologic change.
2. Principle of original horizontality – When sediments first fill part of a low-lying basin, they will be deposited in a horizontal fashion due to the force of gravity acting on them. Layers may be deformed tectonically following deposition, but it should always be assumed that the layer started horizontal
3. Principle of superposition – Within a sequence of sedimentary rock layers, the oldest layer is at the bottom, with the age of each layer decreasing in ascending order so that the youngest layer is on top
4. Principle of lateral continuity – Sedimentary layers extend laterally in all directions (beyond what may be visible in the outcrop). Therefore, it can be assumed that rock layers on opposite sides of canyons with similar characteristics represent the same layer but have been separated by erosion.
5. Principle of cross-cutting relationships – Features that cut through or modify a rock unit must be younger than the unit they are altering.
6. Principle of inclusions – Any fragments of rock included within another rock must be older than the rock they are contained within.
7. Principle of baked contacts – Magma will metamorphose or “bake” the rocks it comes in contact with. Therefore, if the rocks surrounding an igneous rock have a “baked contact”, they must have been present before the magma cooled.

Together, these are the basis for stratigraphy, a branch of geology concerned with the order and relative position of sedimentary and igneous rocks and their relationship to the geological time scale. We will explore some of these in the following exercises. The rest will be discussed in your lecture course.

Exercise 10.1 – Understanding the Principles of Relative Dating

Explore some of the principles of relative dating below.

Superposition

1. Trace out the layers in Figure 10.1 and number them, with 1 being the oldest.
2. Are the rock layers the same thickness? Which rock layer is the thickest? the thinnest?
   

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3. Are the rock layers constant thickness across the image? Can you explain why they are or are not?
   

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Original Horizontality

4. In Figure 10.2, label the layers that are in their original position and those that are not.
5. Are the rock types the same on the bottom layers as on the top layers?
   

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Lateral Continuity

6. Connect the layers across the river in Figure 10.3.
7. What types of rocks are shown?
   

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8. Why do some rock units have a vertical face while others have slopes?
   

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Inclusions

9. Which part of the rocks in Figure 10.4 are the inclusions? Circle them.
10. Are the inclusions older or younger than their host rock?
    

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Cross-Cutting Relationships

11. In Figure 10.5, use cross-cutting relationships to determine which rocks are older.
12. How many generations of igneous rocks in each photo?
    

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The geologic record is not like a video recorder that documents every single event in Earth’s history. There are times when nothing significant happens in the geologic time record.  If there is erosion during this time, this leaves a time gap or unconformity; a contact between two rocks that represents a period of erosion. This means that even though the rocks touch each other, there is a difference in age. Sometimes the erosional surface will develop a soil layer and sometimes it is just rock. So, you can look for soil on the surface to determine if there has been a gap in time.

These gaps can be marked by deeply buried rocks (intrusive igneous or metamorphic rocks) that are brought to the Earth’s surface and the sediments are deposited on these creating a nonconformity. Or rocks can be deformed and tilted, eroded and overlain by sediments creating an angular unconformity. Finally, sediments can be deposited and lithified followed by a gap in time and then further sedimentation creating a disconformity. This is the hardest type of time gap to recognize.

Now, you can use all of the principles you’ve learned to interpret the geologic history of a region. You’ll need to look for all events including metamorphism, igneous rocks, deformation (both folding and faulting), unconformities, and sedimentary units. If possible be specific about types of events such as normal faults, mafic dikes, nonconformities, etc. Also, don’t forget about the surface. Most geologic histories end at present day with formation of a landscape that may include erosion, volcanoes, rivers, and lakes. For example, in Figure 10.6, you can see a landscape in the map view that you would not imagine is hiding a complex geological history underneath:

• The sequence of geological events starts with a protolith which is metamorphosed and folded into a high-grade metamorphic gneiss (rock A) at depth.
• Next, the gneiss is lifted towards the surface and displaced by a brittle fault (G_F). Since the hanging wall is moving upward and the fault is at a shallow angle, this is a thrust.
• Both the gneiss and fault A are crosscut by an igneous granitic intrusion (rock B); its irregular outline suggests it was emplaced as magma into the gneiss. Since igneous rock B cuts both the gneiss and fault, igneous rock B is younger than these.
• Next, the gneiss A, fault G_F, and igneous rock B were exposed at the Earth’s surface and eroded forming a nonconformity indicated with the wavy line (C_U). This created an ancient landscape surface on which sedimentary rock E was deposited.
• Next, igneous basaltic dike D cut through all rocks except sedimentary rock I. Since, the top of dike D is level with the top of layer C, this establishes that erosion flattened the landscape prior to the deposition of layer I, creating a disconformity (J_U) between rocks D and E.
• Fault H_F cuts across all of the older rocks A, B, E and I, producing a fault scarp, which is the low ridge on the upper-left side of the diagram. This is a normal fault as the hanging wall moved downward.
• The final events affecting this area are erosion of the land surface, rounding off the edge of the fault scarp, and producing the modern landscape with a river cutting across the landscape.

Geologists can determine numerical ages for the formation of rocks, minerals, and some fossils using radioactive isotope systems. Does radioactivity sound scary? It can be, but what we’re talking about is happening on such a small scale that you don’t have to worry. The next few paragraphs are a bit technical, but we will try to break it down for you.

An isotope is an atom of an element with a different number of neutrons than protons in its nucleus. For example, a typical carbon atom on the periodic table of elements should have six protons and six neutrons in its nucleus, called carbon-12. Some atoms of carbon can have an extra neutron in the nucleus, called carbon-13, and some can have two extra neutrons in the nucleus, called carbon-14. If an atom has too many neutrons in its nucleus, it can become unstable because the nucleus has too much energy; this is called a radioactive isotope. Carbon-14 is a radioactive isotope. Just as the periodic table of elements summarizes the most important information of every element, there are periodic tables of isotopes that include all the possible isotopes for each element and their relative abundance and properties.

Radioactive isotopes decay to more stable atoms by way of alpha, beta, and/or gamma decay. In short, radioactive atoms can gain or lose protons, neutrons, and electrons or release energy in other forms to become stable. For example, carbon-14 radioactively decays to nitrogen-14, a stable product. This ThoughtCo article gives a very simple explanation of why atoms become radioactive if you want more information.

Radioactive isotopes don’t immediately decay to a stable form because it’s a spontaneous process, so it’s impossible to predict when and which atom will decay. It’s like corn kernels popping in a popcorn maker, you don’t know when a kernel will pop, but you know it will happen. Scientists have measured the average rate for radioactive decay and call this half-life. Half-life is the time it takes for half of the unstable atoms (parents) to decay to stable forms (daughters) (Table 10.2). For example, the half-life for carbon-14 is 5,730 years, but the half-life for potassium-40 is 1.25 billion years. In a sample with 1 million atoms of carbon-14, 500,000 of these atoms are expected to decay over 5,730 years.

So, geologists analyze a material’s chemistry and figure out the ratio between parent and daughter atoms. This ratio tells geologists how many half-lives, or what fraction of a half-life, has passed. If you know this ratio and the rate of decay for that isotope system, you can calculate how old geologic material is.

Geologists use several assumptions for radiometric dating. One assumption is that when the rock or mineral first formed, there were no daughter atoms present. This means all of the daughter atoms found in the rock had to come from radioactive decay. The second assumption is that the rock or mineral was a closed system with no addition or removal of elements. With that being said, geologists know that these assumptions may be incorrect for some of the material they work with, and they have methods that can help correct these issues. That’s it for the technical stuff.

Radiometric dating tells you different things depending on which rock type you are studying. For minerals in igneous rocks, the radiometric age tells you when the mineral crystallized from magma. In metamorphic rocks, the radiometric age of some minerals can give you the age metamorphism took place, but some isotope systems are not affected by metamorphism and can still tell you the age the minerals originally crystallized in the protolith. So, you can determine when the protolith formed and when it became metamorphosed. Other minerals in both igneous and metamorphic rocks, do not retain their daughter isotopes until the mineral has cooled below a certain temperature. This gives you the age the rock cooled below that temperature.

For minerals in sedimentary rocks, the radiometric age only tells you when that mineral crystallized or metamorphosed in its original rock; it doesn’t tell you when the sedimentary rock formed. The only way to determine the age of sedimentary rocks is to combine the principles of relative dating with radiometric dating of igneous or metamorphic events that crosscut the sedimentary rocks, such as a dike. Ages of sedimentary rocks can also be determined from fossils.

Before proceeding, let’s go over geochronologic terminology used in geology. Ages are typically given in thousands (kilo or k), millions (mega or m) or billions (giga or g). The age of a stratigraphic unit or the time of a geologic event may be expressed in years before present (before A.D. 1950). The “North American Stratigraphic Code” (North American Commission on Stratigraphic Nomenclature, 2005) recommends abbreviations for ages in SI (International System of Units) prefixes coupled with “a” for “annum”: ka for kilo-annum; Ma for mega-annum; and Ga for giga-annum. Whereas the duration of time should be expressed in millions of years (m.y.); for example, “deposition began at 85 Ma and continued for 2 m.y.”

Relative and absolute dating methods can be useful for developing the stratigraphic history of an outcrop, but when used together, they are even more powerful. For example, when scientists first discovered the famous Australopithecus afarensis hominin fossil skeleton nicknamed “Lucy” in Ethiopia, they initially estimated her age using the principles of stratigraphy and the occurrence of pig fossils between 3.5 and 2.9 million years ago. Then in 1992, absolute dating techniques were used on volcanic ash beds that were deposited 1 m below Lucy’s skeleton; these resulted in a more precise age of around 3.18 million years old. To further refine this age, we can use local sedimentation rates of 14 to 30 cm per 1000 years. This means her age is closer to 3.15 to 3.12 Ma when she was fossilized. So, combining relative, fossil, and absolute age techniques can be beneficial to better constrain events on Earth.

Exercise 10.5 – Combining Dating Techniques

Figure 10.10 is a hypothetical outcrop view of several sedimentary units that have been deposited on top of a metamorphic bedrock. There are also three igneous events. The age of metamorphic rocks and igneous events can often be found by using radiometric dating methods, but the age of the sedimentary layers can only be determined through cross-cutting relationships with the igneous and metamorphic rocks.

1. Good news! You’ve already collected samples from the igneous and metamorphic events to determine their ages. Complete the calculations for each. To calculate an age, use the age equation: t = [ln(P+D/P)]/λ.
   

   

2. Now that you know the age of the igneous and metamorphic events, determine the minimum and maximum ages for the sedimentary layers and what time periods they are from.
   

   

3. What are the approximate ages of the four unconformities (indicated by the wavy lines)?
   

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4. Now that you have ages for all the events place them in order from oldest to youngest. Determine the order of events for this outcrop.
   

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5. Do you think the unconformity above the metamorphic bedrock formed relatively soon after the rock’s formation or long after?
   

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While topographic maps are useful for looking at topography, often times geologists are interested in the geology of a region. A geologic map is a type of map that provides information on the geologic features and formations of a particular area. It can be used to understand the distribution, composition, and relationships of rocks, minerals, and other geologic features. Additionally, you can use a geologic map to deduce the area’s geologic history.

Geologic maps use various colors, patterns, and symbols to represent different rock types or rock units, geological formations, faults, folds, and other geologic structures. Key elements commonly found on geologic maps include rock units, stratigraphic formations, folds and faults, and topography.

Exercise 10.6 – Age relations on a geologic map

Figure 10.13 highlights the different parts that are common on geologic maps. These include the map, cross-sections, explanation of units, scale, location, etc. This map also has locations for economic mineral deposits including silver-lead mines. In this region, over 15 million ounces of silver were produced from 1875 to 1957.  Your instructor may provide you with a printed version of the USGS map. Answer the following questions.

1. Where is this map located in the U.S.?
   

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2. What is the oldest unit represented on this map? Use the legend to help.
   

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3. What type of rock is the oldest unit? Be specific and not just igneous, metamorphic or sedimentary.
   

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4. What is the youngest unit represented on this map?
   

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5. Describe the geology of the youngest geologic formation.
   

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6. What is the dominant rock type in this region?
   

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7. Name the geologic structure at the top-center of the map in the Colorado, Kootenai, and Morrison and Swift formations.
   

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8. What is the general trend of the anticlines and synclines in this area? Using the orientation of these structures, what was the orientation of convergent forces?
   

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9. Locate cross-section B-B’. What are some geologic features in this cross-section?
   

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10. Locate the Sagebrush Park stock. This is a granodiorite and quart diorite intrusive igneous rock. Did the intrusive body intrude into the country rock before or after folding?
    

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k. Critical thinking: On the western side of the map, there is another suite of igneous rocks, the Elkhorn volcanics. Are they younger or older than the Sagebrush Park stock? What additional information could you use to determine their age relations?

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Even though radiometric dating of sediments isn’t useful for determining the age of sedimentary rocks, the ages are useful for determining which rocks the sediments were eroded from. This is called provenance. One method for understanding depositional patterns in evolving sedimentary basins is to conduct detrital zircon (DZ) geochronology on different layers. This absolute dating method uses the ages of zircon grains within sandstones to tell how sediment sources changed through time. DZ ages are found by using a mass spectrometer to compare the ratios of radioactive lead and uranium within zircon grains.

As you may have notice in Table 10.2, most radioactive elements have only one parent and daughter. This is not true for uranium (U) as it has two parallel decay schemes with ²³⁸U and ²³⁵U parent isotopes and a multi-step decay to daughter elements (²⁰⁶Pb and ²⁰⁷Pb). So, instead of using the decay equation, geoscientists use a plot of ²⁰⁶Pb/²³⁸U against ²⁰⁷Pb/²³⁵U for concordant samples of various ages should define a single curve, named ‘concordia’ by G. W. Wetherill in 1956. For more on U-Pb geochronology, click on this link.

How to measure all these different isotopes for determining mineral and rock ages? Use a mass spectrometer which can measure the mass of a molecule by measuring the mass-to-charge ratio (m/z) of its ion. This technique was first used in 1918 and over the years, two Nobel Prizes have been awarded for advances in mass spectrometery. In the 1950’s, geologists first started using this technique for U-Pb analysis. What is the future of this technique? Well, NASA is developing mass spectrometers to go into space (Figure 10.15). So, perhaps we’ll be able to remotely do geochronology and determine more about the history of our solar system.

Exercise 10.7 – Sediment Provenance

In east-central Texas, the Paleocene Wilcox Group consists of sandstones that house important resources including aquifers, lignite coal and petroleum. To better understand this sediment, you have been tasked with determining its geologic history of an east-central Texas study area (Figure 10.14) using detrital zircon (DZ) geochronology. The U-Pb method of dating is the one usually applied to zircon. This method relies on two separate decay chains, ²³⁸U to ²⁰⁶Pb, with a half-life of 4.47 billion years, and ²³⁵U to ²⁰⁷Pb, with a half-life of 710 million years.

1. The first step is to determine the age of the source areas. You’ve already collected samples from each source and determined their U/Pb ratios (Table 10.3). Use Figure 10.15 to determine the ages of your source areas.
   

   Table 10.3 – U-Pb isotope data for source rocks

   Region	207Pb/235U	206Pb/238U	Age (Ma)
   Amarillo-Wichita Mountains	7.5	0.3
   Llano Uplift	4.5	0.25
   Ouachita Mountains	0.5	0.05

   

2. A sandstone from the study area contains many zircon grains with U/Pb ages of ~1100 Ma. Where were these sediments mainly sourced from?
   

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3. The unit above the sandstone shows U/Pb ages of ~300 Ma. Why do you think these two adjoining units have zircon grains of different ages?
   

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4. Propose and explanation for what caused the change.
   

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5. Figure 10.16 is a series of photos from the study area that shows outcrops of the Wilcox Group with fine-grained sandstone. Three sandstone layers have been selected (S1, S2, S3) to determine the provenance of the sediment. Age data from hundreds of zircon grains has been collected and presented in Figure 10.17. Reconstruct the depositional history of these sediments that including where they are sourced from, and an explanation for why sources may have changed through time. The potential source areas remain the same as those you looked at earlier in Table 10.3.
   

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f: Critical thinking: These sample sites are all in drainage basins of paleorivers. These paleorivers collected detritus from the various source areas. Show the paleorivers on Figure 10.14. How do you think the paleorivers evolved through time?

Additional Information

Exercise contributors:

Michael Comas, Virgina Sisson and Daniel Hauptvogel

Reference:

Klepper, MR, Weeks, RA, and Ruppel, ET, 1957, Geology of the southern Elkhorn Mountains, Jefferson and Broadwater Counties, Montana, U.S. Geological Survey Professional Paper 292 doi:10.3133/pp292 

Wahl, P.J., Yancey, T.E., Pope, M.C., Miller, B.V., and Ayers, W.S., 2016, U-Pb detrital zircon geochronology of the Upper Paleocene to Lower Eocene Wilcox group, east-central Texas, Geosphere, v. 12, p. 1517-1531. DOI:10.1130/GES01313.1