TABLE 1 COMPARISON OF THE EXACT AND APPROXIMATION VALUE OF
The exact value H 0.193854200372343 0.385019096078945 0.570842690696917 0.748747086718487 0.916264248262269 1.071070239693822 1.211017465169250 1.334164461848409 1.438802833461809 1.523480950586641 1.587024088842251
The approximate value H1 0.193883391857379 0.385076676916620 0.570927018974783 0.748855600447801 0.916393331735950 1.071215018405726 1.211171500284468 1.334319297162373 1.438947315539083 1.523600184442877 1.587097798339812
0 -1 -2 -3 -4 -5 -6 -7
-8 -8 -6 -4 -2 0 the Exact Value of Seepage Velocity in X(Y) Direction
the Approximate Value of Seepage Velocity in Z Direction
the Approximate Value of Seepage Velocity in X(Y) Direction
z 0.083333333333333 0.166666666666667 0.250000000000000 0.333333333333333 0.416666666666667 0.500000000000000 0.583333333333333 0.666666666666667 0.750000000000000 0.833333333333333 0.916666666666667
H(x,y,z) WITH x=1/3, y=1/6, h=1/12 Error H1-H 0.000029191485036 0.000057580837675 0.000084328277866 0.000108513729314 0.000129083473680 0.000144778711904 0.000154035115218 0.000154835313965 0.000144482077274 0.000119233856236 0.000073709497560
0
-2
-4
-6
-8
-10
-12 -15 -10 -5 0 the Exact Value of Seepage Velocity in Z Direction
FIG. 2 COMPARISON OF THE EXACT AND APPROXIMATION VALUE OF SEEPAGE VELOCITY TABLE 2 COMPARISON OF THE EXACT AND SOME APPROXIMATION VALUE OF T(x,y,z) WITH x=1/3, y=1/6, z=1/4,h=1/12, τ=1/1800, k2=0.01
Time t 0.0006 0.0172 0.0339 0.0506 0.0672 0.0839 0.1006 0.1172 0.1672 0.1839 0.2006 0.3506 0.3672 0.3839 0.4006 0.4172 0.4339 0.5506 0.6672 0.6839 0.7006 0.7172 0.8006 0.8172
The exact value T 0.3593 0.5311 0.7030 0.8749 1.0467 1.2186 1.3904 1.5623 2.0779 2.2497 2.4216 3.9684 4.1402 4.3121 4.4839 4.6558 4.8277 6.0307 7.2337 7.4056 7.5774 7.7493 8.6086 8.7804
The approximate value T1 0.3593 0.5308 0.7024 0.8740 1.0458 1.2181 1.3910 1.5645 2.0854 2.2590 2.4324 3.9936 4.1671 4.3407 4.5142 4.6877 4.8612 6.0762 7.2911 7.4646 7.6382 7.8120 8.6688 8.8194
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Error T1-T -0.0000 -0.0003 -0.0006 -0.0008 -0.0009 -0.0005 0.0006 0.0022 0.0075 0.0093 0.0108 0.0252 0.0269 0.0286 0.0303 0.0319 0.0336 0.0455 0.0574 0.0590 0.0607 0.0627 0.0602 0.0390