From 1117428eaa87b4e76b97f025e91e218f8bd93064 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Wed, 15 May 2019 16:36:05 +0200 Subject: [PATCH] Update Ty scans analysis --- disturbance-ty/figs/asd_e_relative.png | Bin 0 -> 181292 bytes disturbance-ty/figs/ty_e_time.png | Bin 85320 -> 100460 bytes disturbance-ty/figs/ty_z_time.png | Bin 109818 -> 86439 bytes disturbance-ty/figs/x_relative_disp.png | Bin 0 -> 49967 bytes disturbance-ty/figs/z_relative_disp.png | Bin 0 -> 33316 bytes .../figs/z_relative_displacement.png | Bin 0 -> 33316 bytes disturbance-ty/index.html | Bin 57085 -> 68374 bytes disturbance-ty/index.org | 96 +++++++++++++----- disturbance-ty/matlab/disturbance_ty.m | 70 ++++++++++--- 9 files changed, 123 insertions(+), 43 deletions(-) create mode 100644 disturbance-ty/figs/asd_e_relative.png create mode 100644 disturbance-ty/figs/x_relative_disp.png create mode 100644 disturbance-ty/figs/z_relative_disp.png create mode 100644 disturbance-ty/figs/z_relative_displacement.png diff --git a/disturbance-ty/figs/asd_e_relative.png b/disturbance-ty/figs/asd_e_relative.png new file mode 100644 index 0000000000000000000000000000000000000000..7ce42c590545109f921c8925e2fa8ccbed4a4103 GIT binary patch literal 181292 zcmZ_0cRbeZ`#*k3$S$%&c4dpYL+xemc9N{{hzC~*)71iqZCv?>CDE`~r{QM!f+f8(6g zn+w08IjTOEL>p;g^M?Pywv*L#L?Fm+p#DQ^W!@77{rd zZ~VTbr0g9D=}4OXe3F-Szd4*=+CRVkOyzCk^O5I6tv`;73-XqS-o3~9SmH_YW+Wr% z*Y_ZOpNDSw(JR%H@kk`YWbqqjwauT5j7#TkCk}tdE0WziMY|lkDwc%0(C*yC@s~_h z`TzfoqBqE#B;C*B;h8qV5TWVgjq78h#s0rnnUK?+5Y;W~iE*MaQX`)I)cxN(wc1G# z$g=s&FV=XsDq%6Q-A<6m4*1_kr8}_k@U^0Stuab>M2lgPh!Ch`(8ZS3Li@YyneyMu z!Nl6(;z+m}(SgQjd!?rO#)pJ!LEe~WLkKIh+ap(HC($E5`jk@FX*_gby8RjJnDoka z@1o5AZYD}-v7*%WOW1x(jYOC<)#5{n+j&qgSLnH@&7(s_5L=tz#PNLwTR&!&UxiSaZhaQKW`f81T#3R2s9s1uW@>( z{r4{K`1-gQlj+^3_95^Q-`<*>)T>D*c^un`QE=_@iCx6RQM{;90@Z(?5|5zlW9OZb zLZ9zKf5;B?F7&P=h0eFoqxuk-h+f1Xjlpy@ zS+naCpDi1o4zxc4=)<_ji|BU$pGCtXU~p|}Cafbf-DbI5xZGj(-oDb#fv7xv)bsRz zPgZ!F;-Lou50QOshq_FxS$I2+$>0(F4e46E3Tb+7W1hQhp4u9M@8y(VByFeNP3~e@ z-Q4{6F*X+e^g@O*O#O#y*4e%1Zt|-G3l1TnGHJ&9%ZAK7jzYJT3I{Am$VkH8uj#ye zIZ^cc_Z1nAxME4~H1#8SM~9;GSFc_@U2C=|37)Wt`<{|g7q@J0QKGfDcfw`b{>h*g z>!VU;+_#LoXA~3^z7}IPWslQ`)-srw($v(KL`5xL>FVYwr>YbLC$T0Swi}d z>1b%&9{!l96gOs)O3K%8_D`@)p^FQag-f;WQ`>wQ zEiK_==X|)P;^N|Sc@r)9b)Ki*N#^d0eIp}xSvfdN(^a$dwc(y47nYWIaUMA#dE?uO zYNrCLsvhXg&ndzmX?MyuH*Ml&8Jm`S8XGP~QhLlYC@AiEySbgFh*9Zq#0?u0Z6Z}S zx+t1hS65d*?wrPKpLiG-{oXP|JKns~Z5!WmP1%e+?}~IIU5yAvL_fj>V|#+T8$CI} zwg!8ySs8&y&&)LF|4zSa{c45W*w{F6`^}^5f!QW1+osyfYNPJ_g$pEY9R`_>PY7qt z9j2wrl}z8^Dpy`z&x2UMu7iW2scHB^-CmbC+0Ygl=LI#5=l%`FB#)x$sd3k(m*ppm z2|MDKj;8%a;upun{X;`@Z?QI&kIM(Lhw7~O=f1p|q&d`G-D$pjx6+q6^PZK1wtr2~ ztBR6}->R;1t0tN!Y@yAz@yGLQF3Z7ozpmHk2Lk%%r_J22dgZt;4{0xtSq`_R!VlJH z$<7jJy@tbcwaaER;`p(Jy)Mo|wvTGPeX6SdKJD9EWUp(cy`-+Fs4$?}#p@KmymE$| z5{Zb97s|0t&B(wwnye&9_TV|L6wlEr!4w#`6YUg3uE!*bKlP>=PP%+c>;1r|nbw;v zZ;DgP2}9R)fhm-NS7zJRrpEQ|U~VO$T4oaI!7#h_WI&@~{b#=Hv|D8u>e=|&FY
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[[fig:ty_z_time]]) and in the X direction (figure [[fig:ty_e_time]]). + +We also integrate the relative velocity to obtain the relative displacement (figure [[fig:x_relative_disp]] in the X direction and figure [[fig:z_relative_disp]] in the Z direction). + #+begin_src matlab figure; hold on; @@ -138,7 +142,7 @@ We convert the measured voltage to velocity using the function =voltageToVelocit plot(z_ty(:, 3), z_ty(:, 2), 'DisplayName', 'Sample - Z'); hold off; xlabel('Time [s]'); ylabel('Velocity [m/s]'); - xlim([0, 100]); + xlim([0, 2]); legend('Location', 'northeast'); #+end_src @@ -153,22 +157,6 @@ We convert the measured voltage to velocity using the function =voltageToVelocit #+RESULTS: fig:ty_z_time [[file:figs/ty_z_time.png]] -#+begin_src matlab :exports none - xlim([0, 1]); -#+end_src - -#+NAME: fig:ty_z_time_zoom -#+HEADER: :tangle no :exports results :results value raw replace :noweb yes -#+begin_src matlab :var filepath="figs/ty_z_time_zoom.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") - <> -#+end_src - -#+NAME: fig:ty_z_time_zoom -#+CAPTION: Z velocity of the sample and marble when scanning with the translation stage - Zoom -#+RESULTS: fig:ty_z_time_zoom -[[file:figs/ty_z_time_zoom.png]] - - #+begin_src matlab figure; hold on; @@ -176,7 +164,7 @@ We convert the measured voltage to velocity using the function =voltageToVelocit plot(e_ty(:, 3), e_ty(:, 2), 'DisplayName', 'Sample - X'); hold off; xlabel('Time [s]'); ylabel('Velocity [m/s]'); - xlim([0, 100]); + xlim([0, 2]); legend('Location', 'northeast'); #+end_src @@ -191,20 +179,41 @@ We convert the measured voltage to velocity using the function =voltageToVelocit #+RESULTS: fig:ty_e_time [[file:figs/ty_e_time.png]] -#+begin_src matlab :exports none - xlim([0, 1]); +#+begin_src matlab + figure; + plot(e_ty(:, 3), 1e6*lsim(1/s, e_ty(:, 2)-e_ty(:, 1), e_ty(:, 3))); + xlabel('Time [s]'); ylabel('X Relative Displacement [$\mu m$]'); + xlim([0, 2]); #+end_src -#+NAME: fig:ty_e_time_zoom +#+NAME: fig:x_relative_disp #+HEADER: :tangle no :exports results :results value raw replace :noweb yes -#+begin_src matlab :var filepath="figs/ty_e_time_zoom.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") +#+begin_src matlab :var filepath="figs/x_relative_disp.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") <> #+end_src -#+NAME: fig:ty_e_time_zoom -#+CAPTION: Velocity of the sample and marble in the east direction when scanning with the translation stage - Zoom -#+RESULTS: fig:ty_e_time_zoom -[[file:figs/ty_e_time_zoom.png]] +#+NAME: fig:x_relative_disp +#+CAPTION: X relative displacement of the sample with respect to the marble +#+RESULTS: fig:x_relative_disp +[[file:figs/x_relative_disp.png]] + +#+begin_src matlab + figure; + plot(z_ty(:, 3), 1e6*lsim(1/s, z_ty(:, 2)-z_ty(:, 1), z_ty(:, 3))); + xlabel('Time [s]'); ylabel('Z Relative Displacement [$\mu m$]'); + xlim([0, 2]); +#+end_src + +#+NAME: fig:z_relative_disp +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/z_relative_disp.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:z_relative_disp +#+CAPTION: Z relative disp of the sample with respect to the marble +#+RESULTS: fig:z_relative_disp +[[file:figs/z_relative_disp.png]] ** Frequency Domain analysis We get the typical ground velocity to compare with the velocities measured. @@ -232,15 +241,23 @@ First for the geophone located on the marble And for the geophone located at the sample position. #+begin_src matlab - [pxz_ty_s, f] = pwelch(z_ty(:, 2), win, [], [], Fs); + [pxz_ty_s, ~] = pwelch(z_ty(:, 2), win, [], [], Fs); [pxe_ty_s, ~] = pwelch(e_ty(:, 2), win, [], [], Fs); [pxe_of_s, ~] = pwelch(e_of(:, 2), win, [], [], Fs); #+end_src +And finally for the relative velocity between the sample and the marble. +#+begin_src matlab + [pxz_ty_r, ~] = pwelch(z_ty(:, 2)-z_ty(:, 1), win, [], [], Fs); + [pxe_ty_r, ~] = pwelch(e_ty(:, 2)-e_ty(:, 1), win, [], [], Fs); + [pxe_of_r, ~] = pwelch(e_of(:, 2)-e_of(:, 1), win, [], [], Fs); +#+end_src + And we plot the ASD of the measured velocities: - figure [[fig:asd_east_marble]] compares the marble velocity in the east direction when scanning and when Ty is OFF - figure [[fig:asd_east_sample]] compares the sample velocity in the east direction when scanning and when Ty is OFF - figure [[fig:asd_z_direction]] shows the marble and sample velocities in the Z direction when scanning with the translation stage +- figure [[fig:asd_e_relative]] shows the relative velocity of the sample with respect to the granite in the X direction when the translation stage is OFF and when it is scanning at 1Hz #+begin_src matlab figure; @@ -319,6 +336,31 @@ And we plot the ASD of the measured velocities: #+RESULTS: fig:asd_z_direction [[file:figs/asd_z_direction.png]] + +#+begin_src matlab + figure; + hold on; + plot(f, sqrt(pxe_of_r), 'DisplayName', 'Ty OFF - Relative - E'); + plot(f, sqrt(pxe_ty_r), 'DisplayName', 'Ty 1Hz - Relative - E'); + hold off; + set(gca, 'xscale', 'log'); + set(gca, 'yscale', 'log'); + xlabel('Frequency [Hz]'); ylabel('ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$') + legend('Location', 'northwest'); + xlim([0.1, 500]); +#+end_src + +#+NAME: fig:asd_e_relative +#+HEADER: :tangle no :exports results :results value raw replace :noweb yes +#+begin_src matlab :var filepath="figs/asd_e_relative.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png") + <> +#+end_src + +#+NAME: fig:asd_e_relative +#+CAPTION: Amplitude spectral density of the measured relative velocity in the X direction +#+RESULTS: fig:asd_e_relative +[[file:figs/asd_e_relative.png]] + ** Transfer function from marble motion in the East direction to sample motion in the East direction Let's compute the transfer function for the marble velocity in the east direction to the sample velocity in the east direction. diff --git a/disturbance-ty/matlab/disturbance_ty.m b/disturbance-ty/matlab/disturbance_ty.m index 336ffda..1ecbdab 100644 --- a/disturbance-ty/matlab/disturbance_ty.m +++ b/disturbance-ty/matlab/disturbance_ty.m @@ -23,6 +23,10 @@ e_ty(:, 2) = voltageToVelocityL22(e_ty(:, 2), e_ty(:, 3), 40); e_of(:, 2) = voltageToVelocityL22(e_of(:, 2), e_of(:, 3), 40); % Time domain plots +% We plot the measured velocity of the marble and sample in the vertical direction (figure [[fig:ty_z_time]]) and in the X direction (figure [[fig:ty_e_time]]). + +% We also integrate the relative velocity to obtain the relative displacement (figure [[fig:x_relative_disp]] in the X direction and figure [[fig:z_relative_disp]] in the Z direction). + figure; hold on; @@ -30,7 +34,7 @@ plot(z_ty(:, 3), z_ty(:, 1), 'DisplayName', 'Marble - Z'); plot(z_ty(:, 3), z_ty(:, 2), 'DisplayName', 'Sample - Z'); hold off; xlabel('Time [s]'); ylabel('Velocity [m/s]'); -xlim([0, 100]); +xlim([0, 2]); legend('Location', 'northeast'); @@ -41,24 +45,13 @@ legend('Location', 'northeast'); % [[file:figs/ty_z_time.png]] -xlim([0, 1]); - - - -% #+NAME: fig:ty_z_time_zoom -% #+CAPTION: Z velocity of the sample and marble when scanning with the translation stage - Zoom -% #+RESULTS: fig:ty_z_time_zoom -% [[file:figs/ty_z_time_zoom.png]] - - - figure; hold on; plot(e_ty(:, 3), e_ty(:, 1), 'DisplayName', 'Marble - X'); plot(e_ty(:, 3), e_ty(:, 2), 'DisplayName', 'Sample - X'); hold off; xlabel('Time [s]'); ylabel('Velocity [m/s]'); -xlim([0, 100]); +xlim([0, 2]); legend('Location', 'northeast'); @@ -69,7 +62,23 @@ legend('Location', 'northeast'); % [[file:figs/ty_e_time.png]] -xlim([0, 1]) +figure; +plot(e_ty(:, 3), 1e6*lsim(1/s, e_ty(:, 2)-e_ty(:, 1), e_ty(:, 3))); +xlabel('Time [s]'); ylabel('X Relative Displacement [$\mu m$]'); +xlim([0, 2]); + + + +% #+NAME: fig:x_relative_disp +% #+CAPTION: X relative displacement of the sample with respect to the marble +% #+RESULTS: fig:x_relative_disp +% [[file:figs/x_relative_disp.png]] + + +figure; +plot(z_ty(:, 3), 1e6*lsim(1/s, z_ty(:, 2)-z_ty(:, 1), z_ty(:, 3))); +xlabel('Time [s]'); ylabel('Z Relative Displacement [$\mu m$]'); +xlim([0, 2]); % Frequency Domain analysis % We get the typical ground velocity to compare with the velocities measured. @@ -100,16 +109,25 @@ win = hanning(ceil(10*Fs)); % And for the geophone located at the sample position. -[pxz_ty_s, f] = pwelch(z_ty(:, 2), win, [], [], Fs); +[pxz_ty_s, ~] = pwelch(z_ty(:, 2), win, [], [], Fs); [pxe_ty_s, ~] = pwelch(e_ty(:, 2), win, [], [], Fs); [pxe_of_s, ~] = pwelch(e_of(:, 2), win, [], [], Fs); +% And finally for the relative velocity between the sample and the marble. + +[pxz_ty_r, ~] = pwelch(z_ty(:, 2)-z_ty(:, 1), win, [], [], Fs); +[pxe_ty_r, ~] = pwelch(e_ty(:, 2)-e_ty(:, 1), win, [], [], Fs); +[pxe_of_r, ~] = pwelch(e_of(:, 2)-e_of(:, 1), win, [], [], Fs); + + + % And we plot the ASD of the measured velocities: % - figure [[fig:asd_east_marble]] compares the marble velocity in the east direction when scanning and when Ty is OFF % - figure [[fig:asd_east_sample]] compares the sample velocity in the east direction when scanning and when Ty is OFF % - figure [[fig:asd_z_direction]] shows the marble and sample velocities in the Z direction when scanning with the translation stage +% - figure [[fig:asd_e_relative]] shows the relative velocity of the sample with respect to the granite in the X direction when the translation stage is OFF and when it is scanning at 1Hz figure; @@ -162,7 +180,27 @@ plot(f_gm, sqrt(pxx_gm), 'k--', 'DisplayName', 'Ground Motion'); hold off; set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log'); -xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$') +xlabel('Frequency [Hz]'); ylabel('ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$') +legend('Location', 'northwest'); +xlim([0.1, 500]); + + + +% #+NAME: fig:asd_z_direction +% #+CAPTION: Amplitude spectral density of the measure velocity corresponding to the geophone in the vertical direction located on the granite and at the sample location when the translation stage is scanning at 1Hz +% #+RESULTS: fig:asd_z_direction +% [[file:figs/asd_z_direction.png]] + + + +figure; +hold on; +plot(f, sqrt(pxe_of_r), 'DisplayName', 'Ty OFF - Relative - E'); +plot(f, sqrt(pxe_ty_r), 'DisplayName', 'Ty 1Hz - Relative - E'); +hold off; +set(gca, 'xscale', 'log'); +set(gca, 'yscale', 'log'); +xlabel('Frequency [Hz]'); ylabel('ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$') legend('Location', 'northwest'); xlim([0.1, 500]);