Relation between depths and thicknesses

Question

Moustafa Abedel Fattah 2022-7-12

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https://ww2.mathworks.cn/matlabcentral/answers/1758375-relation-between-depths-and-thicknesses

评论： VBBV 2022-11-12

relation between thickness and depth.jpg

I have five buried layers of known depths and four of them are of known thicknesses. The last depth is obtained from the relation (z5 = sum t(i) + z1) as shown in attached figure. Please I need a short code to get the depths useing the foremention formula. (N.B. I have give a numerical values for depths and thicknesses)

Thanks in advance for quick response as always.

Best Regards;

M. Dahab

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Answer 1

Bharat Chandra Mukkavalli 2022-7-12

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Hi,

The following code will cater your purpose:

z = [7 38 65 117];

t = [31 27 52 268];

z5 = 0;

for i=1:length(t)

z5 = z5 + t(i);

end

z5 = z5 + z(1);

z(end+1) = z5;

Hope this helps!

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Moustafa Abedel Fattah 2022-7-13

Thanks BM, for your kindest as also for quick response, it work but I need the depths of layers ( z = [7 38 65 117]) from the known thicknesses of layers (t = [31 27 52 268]) and the last layer depth's (have no thickness).

Can you or any one do it. thanks again

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Answer 2

VBBV 2022-11-12

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https://ww2.mathworks.cn/matlabcentral/answers/1758375-relation-between-depths-and-thicknesses#answer_1098098

在 MATLAB Online 中打开

syms z1 z2 z3 z4 z5 
t = [31 27 52 268]; % known thicknesses
eq1 = z1; 
eq2 = z2 == z1 + t(1);
eq3 = z3 == z2 + t(2);
eq4 = z4 == z3 + t(3);
eq5 = z5 == z4 + t(4);
sol = solve([eq1 eq2 eq3 eq4 eq5],[z1 z2 z3 z4 z5])
sol = struct with fields:
    z1: 0
    z2: 31
    z3: 58
    z4: 110
    z5: 378