Geophysics 202 Lab #3 - Topographic and Geologic Maps Geophysics 202


INTRODUCTION

Why do we use maps?

Map Types:

Physical (including surface relief (topographic) and ocean bottom bathymetry); Political, Geologic and etc.

Map Projection:

The Earth is a sphere (or more correctly a spheroid), and a globe is the best representation or model of the Earth's surface. A map, on the other hand, must represent as accurately as possible the 3-dimensional Earth on a 2-dimensional (flat) surface. In producing a map it is important to ensure a known relationship between true locations on the Earth and the corresponding points on the map. Therefore, the construction of any map must begin with a map projection . . . and there are dozens to choose from.

The process of systematically transforming positions on the Earth's spherical surface to a flat map while maintaining spatial relationships, is called map projection. This projection process is accomplished by the use of geometry and, more commonly, by mathematical formulas. In geometric terms, the Earth as a spheroid (i.e., a slightly flattened sphere), is considered an undevelopable shape, because, no matter how the Earth is divided up, it cannot be unrolled or unfolded to lie flat. Some of the simplest projections are made onto geometric shapes that can be flattened without stretching their surfaces. These shapes or forms are considered to be developable. Examples of shapes that reflect these properties are cones, cylinders, and planes.

For more information on map projections visit Peter H. Dana’s homepage : http://www.utexas.edu/depts/grg/gcraft/notes/mapproj/mapproj.html

Map scale: Most maps use two types of scales:

Numerical scales are generally given as representative fractions, which are ratios. For example, on a 1:24,000 map, one inch on the map equals 24,000 inches on the ground.

Bar scales measure distance by exhibiting the ground distances along a simple line. They are given in feet, miles, and/or kilometers.

Map Grid: Any point on the Earth’s surface can be specified by its latitude and longitude, measured in degrees. Each degree ( º ) of latitude or longitude is divided into 60 minutes ( ' ), and each minute is divided into 60 seconds ( " ) : e.g., 45º 20' 15" N latitude (in "decimal degrees" would be: 45+20/60+15/3600 = 45.3375) , 17º 25' 30" W longitude.

Latitude (or parallel) is defined as distance, measured in degrees, north and south of the equator.

Longitude (or meridian) is defined as distance, measured in degrees, east and west of the zero or prime meridian. (This zero meridian passes through the Royal Observatory at Greenwich, England.). Halfway around the globe is the 180 longitude (International Date Line). From 0 - 180 east and from 0 - 180 west = 360 or a complete circle.

PART 1: Topographic maps

Topographic maps differ from most other maps in that they depict the relief of the landscape. This makes them useful in understanding the affects of hills, valleys, and plains on many human activities and natural processes. Topo maps typically meet standards of accuracy and content, and make good base maps for determining distances or areas, angles, coordinate positions of various points, and for documenting some of society's impacts on the landscape.

Contours: Differences in relief (differences in altitude) on a topo map are shown by contour lines (lines of equal elevation). For example, all points on a 100-foot contour line are 100 feet above sea level. The elevation change between contour lines is given by the contour interval, which can be from 1 foot to 100 feet. Each map will have only one contour interval, listed on the map. Ordinary contour lines always enclose higher ground; where a contour encloses a depression, the line will have tick marks on the inside. Figure 1 shows how a three-dimensional surface can be represented on a topo map.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 1. Topographic map of a block diagram.

 

Topographic cross-sections

When looking at a topo map, one is viewing the landscape from directly above. It can be difficult to visualize how it would look from the ground. Constructing a topographic cross-section allows one to obtain a side view of the landscape along a line. Such lines are often named A–A' ("A to A-prime"), B–B', etc. Think of a cross-section as the topography you would encounter as you walked from point A to point A'.

A profile is unexaggerated if the horizontal and vertical scales are the same. To emphasize the differences in relief of a comparatively flat area, the vertical scale may be expanded relative to the horizontal scale, producing a cross-section with vertical exaggeration. Vertical exaggeration is given by:

E = H / V, where E = vertical exaggeration

H = denominator of the horizontal scale fraction

V = denominator of the vertical scale fraction

 

The following is an excellent procedure to construct topographic cross-sections:

1. Lay a strip of plain paper along the line for which the profile is to be constructed.

2. Mark on the plain paper the exact place that each contour, stream, and hilltop crosses the profile line. Where contour lines are closely spaced, it is sufficient to label just the index contours (every fifth contour, drawn bold on topo maps). Double-check yourself every five lines or so.

3. Label each mark with the elevation of the contour it represents.

4. Determine the total relief of the profile line. Relief is the difference in elevation between the highest and lowest points.

5. Prepare a vertical scale on a sheet of graph paper or lined paper, based on the relief. Label the horizontal lines on your sheet to correspond to the elevation of each index contour line.

6. Write down the vertical exaggeration of your profile. (Compare what an inch would represent on each of your axes. The vertical exaggeration is what one inch represents on the horizontal scale, divided by what one inch represents on the vertical scale.) Be sure to exaggerate only when needed for clarity.

7. Place the plain paper with the labeled marks at the bottom (or top) of the profile paper, and carefully project each contour onto the horizontal line of the same elevation.

8. Connect all of the points with a smooth line. Mark streams, peaks, benchmarks (points of exact elevation, as surveyed), etc.

9. Check that your profile matches the general topography along your transect line.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 2. Constructing a topographic cross-section.

PART 2: Geologic maps

Expert from the Rationale of The National Cooperative Geologic Mapping Program:

"Geologic maps are uniquely suited to solving problems involving Earth resources, hazards, and environments. In particular, digital geologic maps are interactive electronic documents that put the Nation's earth science issues into geospatial frameworks. They capture the size, the shape, the depth, and the physical and chemical contexts of earth materials and they blend data display with the results of interpretive research. These are actually four-dimensional data systems, and it is the fourth dimension of time, that is crucial to assessing natural hazards and environmental or socio-economic risk. To read a geologic map is to understand not only where earth resources and characteristics are located, but also how and when these earth features formed. Were they produced last year in a fiery hurricane of volcanic ash, a hundred years ago in a major flood, or ten million years ago from a fertile sea or estuary? Should we plan

for another earthquake, eruption, or flood in the same area next year, or not in our lifetimes. Is the water beneath the surface part of a regional aquifer or is it controlled by a local fracture zone? How does subsurface distribution of porous and impermeable rock affect the flow of water, the potential for contamination, and the volume available for use? Geologic maps and data bases address all of these questions."

Cenozoic: Cz Quaternary Q

Tertiary T

Mesozoic: Mz

Cretaceous K

Jurassic J

Triassic TR

 

Paleozoic: Pz Permian P

Pennsylvanian PP

Mississippian M

Devonian D

Silurian S

Ordovician O

Cambrian C

Precambrian: pC

Table 1: standard symbols for designating the age of rock units on geologic maps

When reading geologic maps, keep in mind that they tend to be large-scale compilations of detailed information gleaned from various individuals' field work over many years. A geologist's interpretations may be from a field area of less than a square mile, or up to 20 square miles or more. However, even the most comprehensive, detailed field mapping consists of only partial sampling of the rocks (except, perhaps, with remote sensing). In addition, remapping and/or reinterpretations are commonplace. Therefore, a geologic map consists of the best interpretations and inferences at a given point in time.

Figure 3. Sample Geologic Map from the USGS WWW site: http://geology.wr.usgs.gov/wgmt/aboutmaps.html