Chapter 8.8, Problem 25E

(a)

To determine

To Find: The classification of the movement best that describes the transformation that has occurred.

Answer to Problem 25E

The movement that can be classified is dip slip.

Explanation of Solution

Given:

The given diagram is shown in Figure 1

Figure 1

The matrix for the particular feature across the fault is,

  $\left[\begin{array}{cccccc}123.9& -41.3& 201.7& 73.8& -129.4& 36.4\\ 86.4& 144.2& -29.9& -84.2& 95.5& -125.5\\ 206.5& 247.8& 262.& 213.2& -165.2& -84.1\end{array}\right]$

The matrix for the changed feature after the series of the Earth quake is,

  $\left[\begin{array}{cccccc}123.9& -41.3& 201.7& 73.8& -129.4& 36.4\\ 88.0& 145.8& -28.3& -82.6& 97.1& -123.9\\ 205.3& 246.6& 261.5& 212.5& -166.4& -85.3\end{array}\right]$

Calculation:

Consider the given figure and the given matrices.

From the given matrices the movement that can be classified is dip slip.

(b)

To determine

To Find: Thematrix that describes the movement that has occurred.

Answer to Problem 25E

The required matrix is $\left[\begin{array}{cccccc}0& 0& 0& 0& 0& 0\\ 1.6& 1.6& 1.6& 1.6& 1.6& 1.6\\ -1.2& -1.2& -1.2& -1.2& -1.2& -1.2\end{array}\right]$ .

Explanation of Solution

From the given matrices it is determined that there is no shift towards the X coordinate and the Y axis has shifted by 1.6 and Z axis points have been shifted in the opposite direction by 1.2.

Then, the required transformation matrix is,

  $\left[\begin{array}{cccccc}0& 0& 0& 0& 0& 0\\ 1.6& 1.6& 1.6& 1.6& 1.6& 1.6\\ -1.2& -1.2& -1.2& -1.2& -1.2& -1.2\end{array}\right]$