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!.1 DBSCRIPTIVB THEORIES 239 <br /> X POINT sy01lACE A DATUM <br /> 0 <br /> 1s•s x' <br /> 30 <br /> .o n soy- <br /> to <br /> ass <br /> s0 <br /> 90 <br /> INLI sl•s% <br /> Iw10 O•s 0•6 0•4 O•a O O•a 0•4 04 04 10 1•8 <br /> FACE ADVANCE <br /> IN TE11Ms Of tl <br /> Fit. 9.2.6 Typical subsidence development curve (12). Courtesy U.K. National Coat <br /> Board. <br /> function of the face location, which is advancing toward the right. Subsi- <br /> dence at P begins when the face is 0.7h ahead of P and increases linearly <br /> us the face udvunces. Subsidence uccelerutes when the face is about 0.3h <br /> ahead of point P, reaching 15.5% of maximum when the face is directly <br /> below P. It accelerates rapidly when the face passes beyond point P and <br /> reaches 97.5% when the face is 0.7h beyond P. At this point active <br /> subsidence is complete; the remaining 2 to 3% is due to gradual compac- <br /> tion of subsided ground and is known as residual subsidence or time- <br /> dependent subsidence.It should be noted that 0.7h is roughly one-half the <br /> critical width for the point P if the angle of draw is taken as 350. <br /> Residual subsidence also occurs simultaneously with the instantaneous <br /> subsidence. It can be measured by precise leveling or automatic photo- <br /> graphic survey for various points along the subsidence curve. Figure 9.2.7 <br /> shows the instantaneous surface subsidence (solid line) and subsidence <br /> profile (dashed line) 21 days after the face stopped. It is seen that <br /> maximum residual subsidence of 99/o occurs at half-maximum subsidence <br /> and that it decreases toward both ends, that is, the amount of residual <br /> subsidence is proportional to the rate of subsidence of the surface points. <br /> Residual subsidence is also associated with the physical properties of the <br /> overlying strata. Strong rocks exhibit more residual subsidence than <br /> weaker ones. <br /> Thus we see that, according to the British investigations (12) time- <br /> dependent or residual subsidence can amount to a maximum of 9%of the <br /> total subsidence if the face is stopped within the critical width of the <br />