<content> POINTS PER DECADE FOR LOOP VERSION </content>

0aa89e35-a212-4eea-9dcb-190774e87c87 203 Reg Curry 4 5 false false false 0 3 decimal

&[DATE] &[TIME] - &[FILENAME]

HEMP E-FIELD = E1 + E2+E3a+E3b

TSTART 1 time :

POINTS PER DECADE SNIPPET

MUST DEFINE THE FOLLOWING PARAMETERS BEFORE INSERTING THE SNIPPET

NUMBER OF POINTS PER DECADE = NPD:

DECADE GRID SIZE

POWER OF START POINT = NFS

POWER OF END POINT = NFF

TOTAL NUMBER OF POINS = Nt

NFS NFF NPD PPD Δ 9.9 1 - NPD / : i 1 NPD range j 1 NFF NFS - (range FF i j el 1 i Δ * + (10 j NFS + 1 - (^* : for for ColF.1 FF 1 col : V ColF.1 : i 2 FF cols ((range V V FF i col stack : for V 61 line : eval

Points/Decade = \[REGION[a3f8880d470b4ac1b8cecf7170d84d3b]]\

NPD 20 :

Power of Starting Point \[REGION[357c6d8746054ffb842c987c57526766]]\

NFS 10 - :

Power of End Point \[REGION[727193870e134db7a24464029b6b4bba]]\

NFF 2 :

t NFS NFF NPD PPD eval :

t length 240

t max 99

t min 1.45 1010 -^*

k 1 t length range :

Nt t length :

Nt 2.4 102^*

HEMP EARLY TIME DATA INCLUDING E1 & E2 ONLY

Data2 1.0560 1010 -^* 9.2081 1003 -^* 1.5222 1010 -^* 1.9204 1001 -^* 1.9171 1010 -^* 3.4992 1000 +^* 2.6366 1010 -^* 2.8364 1001 +^* 2.8930 1010 -^* 1.1706 1002 +^* 3.7986 1010 -^* 4.8310 1002 +^* 5.4561 1010 -^* 1.9938 1003 +^* 1.1215 1009 -^* 6.2812 1003 +^* 2.7586 1009 -^* 1.9789 1004 +^* 5.6663 1009 -^* 4.4484 1004 +^* 1.1630 1008 -^* 7.1354 1004 +^* 2.8532 1008 -^* 6.6697 1004 +^* 5.3457 1008 -^* 5.4470 1004 +^* 1.0938 1007 -^* 2.1171 1004 +^* 1.9560 1007 -^* 7.6912 1003 +^* 3.1952 1007 -^* 1.9938 1003 +^* 6.2448 1007 -^* 4.8310 1002 +^* 1.3991 1006 -^* 2.8152 1002 +^* 3.4292 1006 -^* 1.7551 1002 +^* 9.1961 1006 -^* 1.1706 1002 +^* 2.1567 1005 -^* 1.0228 1002 +^* 4.4215 1005 -^* 9.5600 1001 +^* 1.0842 1004 -^* 7.2978 1001 +^* 1.9423 1004 -^* 5.9600 1001 +^* 2.9059 1004 -^* 3.7156 1001 +^* 5.6868 1004 -^* 1.6529 1001 +^* 8.1276 1004 -^* 6.8728 1000 +^* 1.0169 1003 -^* 6.0048 1000 +^* 1.8233 1003 -^* 7.3527 1000 +^* 2.4984 1003 -^* 1.1024 1001 +^* 3.5781 1003 -^* 1.1794 1001 +^* 4.8973 1003 -^* 1.0305 1001 +^* 6.6979 1003 -^* 6.4242 1000 +^* 1.0017 1002 -^* 3.2708 1000 +^* 1.3083 1002 -^* 1.1883 1000 +^* 1.5589 1002 -^* 1.6779 1001 -^* 1.6974 1002 -^* 1.9348 1002 -^* 1.8511 1002 -^* 4.6882 1003 -^* 2.1138 1002 -^* 1.9494 1003 -^* 392 mat :

Data2 1.0560 1010 -^* 9.2081 103 -^* 1.5222 1010 -^* 0.1920 1.9171 1010 -^* 3.4992 2.6366 1010 -^* 28.3640 2.8930 1010 -^* 117.0600 52 mat

Etime Data2 1 col :

Edata Data2 2 col :

UNLIKE MATHCAD; interp(x,y,c) only returns values of y at x=c, a program is required to fill a vector say linterp(a,b,c) Thus the following requirement.

a b c linterp2 n c length : result n Zeros : i 1 n range result i el a b c i el linterp : for result 41 line :

YYL Etime Edata t linterp2 eval :

YFIT t YYL augment eval :

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Data2 YFIT 2 1 sys

EARLY TIME DRIVING FIELD: \[REGION[69cd32875d2b4bdcaf7476bbb5e1675f]]\

EE YFIT 2 col :

DEFINE THE E3 MHD FIELDS

NOTE THE MHD FIELDS OF E3a and E3b ARE FOR A GROUND CONDUCTIVITY σ_g = 10^-3 S/m.

To scale to other ground conductivities use the following: electric field is to be scaled as E3 ~ σ_g^-1/2 E3₂ = E3₁(σ1/σ2)^+1/2

]]>

FROM MATHCAD

t.min t min :

t.max t max : 99

NOW DEFINE E3a and E3b

α 9.5 :

β 1.4 :

γ 26 :

δ 8.9 :

E3a k el 1010 -^t k el 0.01 ≤ α e t k el β / -^* 103 -^* γ t k el * δ t k el (2^* - (* 0.01 t k el ≤ (20 ≤ 1010 -^cases :

THIS IS E3a

FROM MATHCAD

α2 13105^* :

β2 200 :

γ2 20 :

E3b k el 1010 -^t k el 20 ≤ α2 - (t k el (2^* e t k el γ2 / -^* 103 -^* β2 3^t k el * 3 β2 3^* γ2 * - t k el (4^+ γ2 β2 3^t k el (3^+ (2^* / (* 103 -^* 20 t k el ≤ (t.max ≤ 1010 -^cases :

THIS IS E3b

Etotal k el EE k el E3a k el + E3b k el + :

THIS SHOULD BE THE TOTAL FIELD, BUT IT'S NOT????

ALTERNATE EXPRESSION; THIS ALSO IS INCORRECT???

Etotal k el EE k el t k el 0.01 ≤ α e t k el β / -^* 103 -^* γ t k el * δ t k el (2^* - (* 0.01 t k el ≤ (20 ≤ α2 - (t k el (2^* e t k el γ2 / -^* 103 -^* β2 3^t k el * 3 β2 3^* γ2 * - t k el (4^+ γ2 β2 3^t k el (3^+ (2^* / (* 103 -^* cases :

Etotal 1 el 0.1618

EE 1 el 0.1618

HEMPEFIELD t Etotal abs vectorize augment :

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