$4$ Simulation of a Controlled Detonation Process

$4\mathrm{.}1$ Scenario Description

Safely demolish a structurally compromised building using controlled detonation techniques, ensuring minimal impact on surrounding infrastructure.

$4\mathrm{.}2$ Model Setup and System Parameters

Building and Explosive Specifications:

Building height: $50m,$ footprint: $20m30m.$

Explosive type: C$4,$ with specified detonation velocity and energy yield.

$4\mathrm{.}3$ Key Equations

Shockwave Propagation:

$P(r)=P_0*(\frac{D}{r}{)}^3$

where $P(r)$ is the pressure at radius $r,P_0$ is the initial pressure, and $D$ is the charge diameter.

$4\mathrm{.}4$ MATLAB Task

Utilize MATLAB to model the shockwave effects and structural response of the building and surrounding structures using the Partial Differential Equation Toolbox.