Working Through Applied Geophysics: What You Actually Need to Know
The textbook most people use is Introduction to Applied Geophysics by William L. Telford, Louis P. Geldart, Richard E. Sheriff, and Dale H. keys. There is no single "Burger" edition that dominates the field, but various solution manuals circulate under different names and formats. The one people tend to search for as an Introduction To Applied Geophysics Solutions Manual Burger is usually a compiled PDF that attempts to walk through the end-of-chapter problems from the Telford text. It is not officially published by the same press that released the original book. That distinction matters more than you might think. These manuals are mostly student-made compilations that have been shared across academic networks over the years. They typically cover chapters on seismic reflection, refraction, gravity, magnetics, electrical resistivity, and induced polarization. The accuracy varies wildly from problem to problem. I spent a few semesters grading undergrad assignments that clearly came straight from one of these, and the telltale signs are obvious. Steps are either skipped entirely or duplicated without explanation. A few of the gravity anomaly calculations have sign errors that propagate through three lines of algebra before someone catches them. The most reliable version I found was a scanned compilation from a university engineering library that cross-referenced each problem number with the third edition solutions. It covered roughly 80 percent of the textbook problems with workable derivations. The remaining 20 were either too open-ended or required numerical methods that the author simply didn't attempt. If you are using it as a study aid, treat every answer as a first draft, not a final authority.
Here is a practical way to actually use these materials without fooling yourself into thinking you understand the material. Pick a problem. Attempt it yourself first, even if your answer is wrong. Then open the manual and compare your approach, not just your final number. The value is in seeing whether they set up the integral the same way you did, whether they made the same approximations about layer geometry, whether they ignored a boundary condition you caught. That comparison takes about twenty minutes per problem and builds real comprehension. Skimming the answers takes about two minutes and accomplishes almost nothing. One issue I ran into repeatedly involves the seismic refraction problems in chapters four and five. The manual solutions often assume critical refraction angles without checking whether the velocity contrast between layers actually permits head waves. In one problem set, the second layer velocity was given as 2500 m/s and the third as 2800 m/s, but the solution blindly applied the standard arrival time equation without verifying the critical angle condition. The workaround is simple: calculate sin(i_c) = v1/v2 first. If the ratio exceeds one, the problem setup itself is physically impossible and no amount of algebra will fix it. Flag it and move on rather than forcing a numerical answer that means nothing. Another counter-intuitive point beginners miss is the difference between the two forms of the Bouguer correction. The textbook presents the standard free-air correction plus the slab correction, but some of the manual solutions conflate the terrain correction with the Bouguer correction and apply both when only one is needed. This shows up most clearly in the magnetic survey problems where the reduction to pole step gets mixed up with the regional field correction. If your final anomaly looks sharper than the input data, you probably over-corrected.
The electrical methods section has its own set of recurring mistakes. The Schlumberger array formulas in the manual sometimes swap the potential electrode spacing with the current electrode spacing in the apparent resistivity equation. The formula is straightforward, rho_a = (pi * L^2 / 4) * (deltaV / I), but when L is the half-current-electrode-spacing and you accidentally plug in the potential-electrode separation instead, your resistivity values come out off by orders of magnitude. I once spent an afternoon debugging a field program only to realize the spreadsheet cell reference was pulling from the wrong column. This happens far more often than you would expect from people who just read a solution manual without cross-checking the actual field equations. If you are looking to get a copy of the manual, searches will lead you to student-hosted PDFs on various file-sharing platforms and academic document repositories. There is no official publisher link because these are unofficial compilations. The file sizes range from about 4 MB to 25 MB depending on whether they include figures and tables. Some versions also contain notes from multiple semesters of students, which means you may encounter contradictory approaches to the same problem. That is another reason to verify independently. For the sections that the manual handles poorly, the best alternative is to work through the original derivations in the main text and use the Society of Exploration Geophysicists handbooks for reference formulas. The SEG Earth Dictionary and the Exploration Geophysics of the Shallow Subsurface texts by Kearey, Brooks, and Hill provide clearer step-by-step worked examples for gravity and magnetic methods. For seismic refraction specifically, the treatment in Lines and Treitel's 2007 paper on modern refraction practice is more precise than most of what circulates in student manuals.
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The bottom line is that these solution manuals are useful in a limited way. They help you check your setup and catch algebra errors. They do not replace working through the derivations yourself. The field does not reward people who can reproduce someone else's answers; it rewards people who can recognize when a problem setup is flawed and adjust their approach accordingly. The manual can show you the standard path. You still have to walk it.