# An Alternative Procedure for the Description of Seismic Intensity Parameter-Based Damage Potential
## 2 Methods
### Damage Indices  
In contrast to Intensity Measures, which describe a seismic event's ability to excite a structure and the degree to which this takes place, Damage Indices (DIs) provide a way to quantify the sustained damage of a single structural element or the structure as a whole. A local DI is used when a single structural element is to be assessed. In contrast, when a whole structural system is considered, a global DI is utilized to describe the sustained structural damage in a lumped manner. Furthermore, it means that the global DI does not inform us about the location of the damage, only about the overall state of the structure. GlobalDamage Indices result in one of two ways: as an immediate result of a specific methodology or from some form of averaging the local Damage Indices of the structure's elements. DIs typically lie within the range [0, 1], with 0 indicating a healthy/unharmed structural state and 1 indicating total collapse of the element/structure. Detailed discussions on all the significant Damage Indices in the literature can be found in [5]. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Intensity Measure** & **Symbol** & **Units** & **Minimum** & **Maximum** & **Average** & \begin{tabular}{c} **Standard** \\ **Deviation** \\ \end{tabular}  & **References** \\ \hline Housner Intensity & \(\text{SI}_{\text{H}}\) & cm & 15.410 & 673.467 & 161.324 & 135.671 & [30] \\ \(\text{S}_{\text{a,avg}}\) & \(\text{S}_{\text{a,avg}}\) & g & 0.030 & 1.282 & 0.372 & 0.299 & [31] \\ Specific Energy & SED & cm\({}^{2}\)/s & 11.378 & 68,792.353 & 5602.030 & 10,271.634 & [32] \\ Density & \(\text{SI}_{\text{V}}\) & cm & 21.460 & 635.346 & 180.210 & 134.699 & [33] \\ Velocity Spectrum & \(\text{SI}_{\text{V}}\) & cm/s & 5.929 & 222.942 & 49.955 & 39.445 & [3] \\ Intensity & \(\text{S}_{\text{V}}\text{T1}\)(\%) & \(\text{S}_{\text{V}}\text{T1}\)(\%) & cm/s & 9.811 & 364.923 & 84.838 & 73.964 & [3] \\ \(\text{S}_{\text{a,T1}}\)(\%) & \(\text{S}_{\text{a,T1}}\)(\%) & g & 0.015 & 1.991 & 0.385 & 0.382 & [3] \\ \(\text{S}_{\text{d,T1}}\)(\%) & \(\text{S}_{\text{d,T1}}\)(\%) & cm & 0.565 & 76.975 & 14.855 & 14.775 & [3] \\ Sustained & SMV & cm/s & 1.765 & 135.907 & 33.653 & 27.657 & [34] \\ Maximum Velocity & \(\text{V}_{\text{RMS}}\) & cm/s & 0.291 & 39.986 & 8.058 & 7.404 & [4] \\ Velocity & & & & & & & \\ PGD & PGD & cm & 0.451 & 111.511 & 17.283 & 22.265 & [3] \\ Displacement RMS & \(\text{d}_{\text{RMS}}\) & cm & 0.030 & 28.531 & 4.163 & 5.876 & [4] \\ \(\text{v}_{\text{max}}/\text{a}_{\text{max}}\) & \(\text{v}_{\text{max}}/\text{a}_{\text{max}}\) & s & 0.017 & 0.436 & 0.093 & 0.069 & [37] \\ Mean Period & Tm & s & 0.102 & 1.479 & 0.498 & 0.288 & [38] \\ Standardized CAV & CAV\({}_{\text{std}}\) & g’s & 0.000 & 4.776 & 1.217 & 1.019 & [39] \\ Cumulative & CAV & cm & 135.287 & 5062.353 & 1382.785 & 1063.057 & [40] \\ Absolute Velocity & & & & & & & \\ Arias Intensity & \(\text{I}_{\text{A}}\) & m/s & 0.109 & 18.247 & 3.649 & 3.641 & [27] \\ Characteristic & \(\text{I}_{\text{C}}\) & \(\text{g}^{1.5}\text{-g}^{0.5}\) & 0.007 & 0.431 & 0.120 & 0.090 & [3] \\ Intensity & & & & & & & \\ Predominant & \(\text{T}_{\text{P}}\) & s & 0.060 & 1.120 & 0.330 & 0.235 & [3] \\ Period & & & & & & & \\ Acceleration RMS & \(\text{a}_{\text{RMS}}\) & g & 0.007 & 0.221 & 0.068 & 0.039 & [41] \\ Sustained & & & & & & & \\ Maximum & SMA & g & 0.042 & 1.190 & 0.370 & 0.202 & [34] \\ Acceleration & & & & & & & \\ Acceleration & & & & & & & \\ Acceleration & & & & & & & \\ Spectrum Intensity & & & & & & & \\ Uniform Duration & t\({}_{\text{uniform}}\) & s & 1.340 &  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**RSN** & **Seismic Event** & **Station** & **Magnitude** & \begin{tabular}{c} **Hypocenter** \\ **Depth** \\ **(km)** \\ \end{tabular}  & \ \begin{tabular}{c} **Epicentral** \\ **Distance** \\ **(km)** \\ \end{tabular}  & \begin{tabular}{c} **V\({}_{\text{s30}}\)** \\ **(m/s)** \\ \end{tabular}  & **Components** \\ \hline
1 & \ \begin{tabular}{c} Helena, \\ Montana-01 \\ \end{tabular}  &