From 96126e8874e91066fa8ac944655a63f5071a2240 Mon Sep 17 00:00:00 2001 From: chavlin Date: Tue, 28 Oct 2025 14:55:17 -0500 Subject: [PATCH 1/2] backstress update --- content/blog/diede-backstress-2025/index.md | 29 ++++++++++++++++++ data/authors/diedehein.json | 6 ++++ .../diede-backstress-2025/Extrapolation.png | Bin 0 -> 216534 bytes .../diede-backstress-2025/ModelComparison.png | Bin 0 -> 35327 bytes .../blog/diede-backstress-2025/invQvA.png | Bin 0 -> 15636 bytes 5 files changed, 35 insertions(+) create mode 100644 content/blog/diede-backstress-2025/index.md create mode 100644 data/authors/diedehein.json create mode 100644 static/images/blog/diede-backstress-2025/Extrapolation.png create mode 100644 static/images/blog/diede-backstress-2025/ModelComparison.png create mode 100644 static/images/blog/diede-backstress-2025/invQvA.png diff --git a/content/blog/diede-backstress-2025/index.md b/content/blog/diede-backstress-2025/index.md new file mode 100644 index 0000000..0cee2bc --- /dev/null +++ b/content/blog/diede-backstress-2025/index.md @@ -0,0 +1,29 @@ ++++ +title = "Update from the laboratory: Investigating the role of dislocations during transient creep in Earth’s upper mantle" +date = "2025-10-28" +summary = "Updates from Diede Hein and Lars Hansen on experimental constraints on the role of dislocations in transient creep." +authors = ["diedehein"] +showTableOfContents = false ++++ + + +A key goal of the iSTRUM project is to better understand the microphysics of transient creep (i.e., the time-dependent change of a rock’s viscosity after changes in stress) in the upper mantle. However, as we cannot observe the flow of rocks in the upper mantle *in situ,* laboratory experiments remain key to informing our understanding of its transient rheological behavior. Unfortunately, there are two significant challenges to be overcome when using laboratory experiments to investigate the flow of rocks in the mantle. First and foremost of these limitations is the limitation of time. We simply cannot run experiments that last as long as the geophysical phenomena that the iSTRUM project focuses on, including postseismic creep and glacial isostatic adjustment, which occur over timescales of months to hundreds of years. Another challenge lies in the size of the samples used in our experiments. Many experimental methods rely on small samples to produce the high pressures that are characteristic of the mantle. However, to maintain a representative number of mineral grains in a small rock sample, the average grain size needs to be small (on the order of tens of micron), while the actual grain size of mantle rocks is much larger, on the order of 1–10 mm. Such small grain sizes may be problematic as many of the mechanisms by which rocks deform are sensitive to grain size, and the mechanism that presents the easiest way to deform fine-grained rocks in the laboratory may not be the mechanism that controls the deformation of the coarse-grained rocks in nature. + +As we cannot perfectly replicate the conditions of the upper mantle in our experiments, we instead aim to tease out the microphysics of deformation from our experiments so that we may confidently extrapolate these physics to geologically relevant timescales and grain sizes. With this philosophy in mind, there (thankfully) are a few experimental "tricks" that we may apply to get around these time and grain-size limitations. First, we can reduce the time required to reach a geologically relevant amount of deformation by subjecting our samples to high temperatures during experiments, thereby increasing the kinetics of deformation. Second, we can apply high stresses in our experiments to overpower those mechanisms that are primarily sensitive to grain size and study those mechanisms that are primarily sensitive to stress and likely dominate at large grain sizes. Then, by comparing our experimental observations to the predictions of microphysical models we can begin to eliminate those models that fail to capture observations and refine those that match our data well. + +Over the past few years, two mutually exclusive models aiming to explain transient creep in olivine, the most abundant mineral in Earth’s upper mantle, have popularized in the scientific discourse. Both models involve the motion of dislocations (i.e., linear crystalline defects that facilitate deformation by moving and multiplying in response to stress) and predict distinctly different mechanical behavior of the upper mantle. One model, known as ‘the plastic-anisotropy model’, postulates that the plastic anisotropy of olivine (i.e., its directional dependence of the ease of dislocation motion) results in transient creep in mantle rocks. In this model, a stress change in the mantle first induces deformation of grains in easy orientations for dislocation motion leading to a low initial viscosity. With time, the deformation of grains in hard orientations starts to control the long-term behavior of the rock as soft grains alone cannot accommodate all deformation indefinitely. The other model, known as ‘the backstress model’, argues that it is actually the long-range interactions among dislocations and the evolution of the density of dislocations that controls the transient behavior of mantle rocks. The experiments we performed at beamline 6-BM-B of the Advanced Photon Source (APS) at Argonne National Laboratory (described in [this recent paper](https://doi.org/10.1029/2025JB031674)) leveraged both of the aforementioned ‘tricks’, and enabled us to rule out one of the proposed models for transient creep in the upper mantle. + +We performed high-temperature (900–1200°C), high-pressure (\~5 GPa), and high-stress forced-oscillation experiments on polycrystalline olivine in a multi-anvil apparatus called a deformation-DIA. In these experiments we applied a sinusoidal force to our samples. We then used the bright X-rays produced by the APS to measure the deformation (also referred to as ‘strain’) of our samples from digital image correlation of radiographs. We measured the stress that the rock experienced by diffracting X-rays through the crystal lattice of the sample and converting the elastic lattice strains to stresses using Hooke’s law. The time delay between the imposed sinusoidal stress and the measured sinusoidal strain is directly related to a quantity known as the inverse quality factor, *Q*\-1, that is commonly used by seismologists to quantify the attenuation of seismic waves traveling through the mantle after earthquakes. By changing the stress amplitude of the imposed oscillations we were able to observe that *Q*\-1 increased with amplitude (Figure 1), which is diagnostic of attenuation produced by dislocations. + +![Figure 1 shows a logspace graph of attenuation as a function of amplitude in which measurments from our deformation-DIA experiments indicate a linear positive correlation at amplitudes of 200 to 250 MPa with attenuation values between 1 and 10.](/images/blog/diede-backstress-2025/invQvA.png "Figure 1: Positive correlation between attenuation and stress amplitude observed in one of our experiments at 1150°C that featured 4 steps of increasing amplitude, all at a period of 300 seconds. Symbology represents measurements from different lattice planes of olivine and two different olivine samples that were deformed in the same experiment.") + +To confirm that the trend we observed could not be attributed to changes in grain size or crystallographic orientations over the course of our experiments, we characterized the microstructure of our samples before and after deformation by electron backscatter diffraction using a scanning electron microscope. These analyses confirmed that the evolution of grain size and crystallographic orientations could not explain our observations. Therefore, our measurements of *Q*\-1 provide a first-of-its-kind dataset to compare to the predictions of the plastic-anisotropy and backstress models. + +Because there are no analytical solutions to the constitutive equations of these models, we performed numerical simulations of our experiments, solving the equations for the strain produced by a sinusoidally varying stress. Figure 2 presents a comparison of the attenuation from our experiments to the attenuation predicted by the plastic-anisotropy and backstress models. The comparison clearly illustrates that the plastic-anisotropy model underpredicts the amount of attenuation observed in our experiments, especially at lower temperatures. As such, we conclude that the plastic-anisotropy of olivine did not dominate the behavior of the olivine in our experiments. + +![Figure 2 presents a comparison of deformation-DIA data obtained at 1150 and 900 degrees Celcius to predictions of the plastic anisotropy and backstress models at a period of 300 seconds that indicates that attenuation in our deformation-DIA experiments exceeds predictions of the plastic-anisotropy model by up to two orders of magnitude at 900 degrees celcius and is within error of those predictions at 1150 degrees celcius. The data fall within error of the predictions of the backstress model for both temperatures. Attenuation data fall between 0.1 and 10 over amplitudes between 100 and 1000 MPa.](/images/blog/diede-backstress-2025/ModelComparison.png "Figure 2: Comparison of experimental data (symbols), and predictions of the backstress and plastic anisotropy models (solid and dotted lines, respectively) at a period (*p*) of 300 s. Colors refer to temperatures and shaded areas represent the approximate error of experimental results due to the temperature-uncertainty in the deformation-DIA apparatus.") + + +![Figure 3 presents a logspace graph of attenuation as a function of frequency on which solid lines (one each for 1300, 1400, and 1500 degrees Celcius) indicate the prediction of the linearized backstress model that peak at an attenuation of approximately 0.3 around 0.1 to 1 mHz and have a slope of -1 in logspace at higher frequencies. The position of the peak increases approximately one order of magnitude in frequency for a temperature increase of 100 degrees. The prediction for 1400 degrees celcius matches the attenuation values of the PREM and NoMelt models given a grain size of 1 mm, a bias stress of 3 MPa, and a stress amplitude of 100 kPa. Dashed lines indicate the attenuation predicted by the extended Burgers model of Qu (2022) that fall about 1.5 orders of magnitude below the attenuation values of the PREM and NoMelt models. The extended Burgers model of Qu (2022) is much less sensitive to temperature than the linearized backstress model.](/images/blog/diede-backstress-2025/Extrapolation.png "Figure 3: Extrapolation of the backstress model to conditions of seismic-wave propagation in the upper mantle (*d* is grain size, \\(\sigma_{\mathrm{dc}}\\) is the tectonic background stress, \\(\sigma_{\mathrm{A}}\\) is the amplitude of the seismic wave, increasing temperature is indicated by colors of increasing warmth, \\(\omega\\) is frequency). Seismological constraints on attenuation in upper oceanic mantle (PREM, NoMelt) are plotted for comparison, as well as an extrapolation of the recent recalibration of a popular grain-boundary sliding model (dashed lines).") + + diff --git a/data/authors/diedehein.json b/data/authors/diedehein.json new file mode 100644 index 0000000..ae2e123 --- /dev/null +++ b/data/authors/diedehein.json @@ -0,0 +1,6 @@ +{ + "name": "Diede Hein (University of Minnesota Twin Cities)", + "social": [ + { "github": "https://github.com/Diede-Hein/" } + ] +} diff --git a/static/images/blog/diede-backstress-2025/Extrapolation.png b/static/images/blog/diede-backstress-2025/Extrapolation.png new file mode 100644 index 0000000000000000000000000000000000000000..1b05abbc5e061f917e8470c6c0ec1f7318cb430e GIT binary patch literal 216534 zcmeFZcUaDE95#HDL}V8gMMk7TOVL6ZNqbKzrM=gklvN0&goA18Ku3Kq`kEF zbAA!O=RKbHIG*Eu|9Xz&xsTtd?)(0Z>$*Ol&v~Ao^ZMSEkvc;|%|J~ek!a4H6_X>8 zRx0A(J*!sYFV=&1&)|QnEzYW1lSoJSh<}&)cb(jcKhoQXtJuh!>)Y7tSY0OB+uL&* zni*T`>R4RnG`BJc7!+h6k#>^KiJeezc;4S^Z=+zlusBj1>a}9|>YUB@_FtC?eJZ|_ zC31}JBJIXU`&O}tKNYVPKfo6JN^U$R_$-yO*s)vjHeQ@xzV6z!XT!-=C36eI`DOg} z-X)*)^t}a{yBq`^T?U<7C)1g1yL@M-pMBO(QYH1LUYjS=FbPhzmlZwS;q&zAQ%2V1 zxLD$)N0~cKxqZXdtq~&~MOjX3fB%)_x@JQ($xh_JAk~V+c zfddD~9S@Ffp{MT|l>PH166eXt<$7{PM$rr72`+|(_h<*1DF3|IcJdaR=)U(wMaIQm zyJlJ!7rOrQwI3aW%Ut`v;ZzKKCeMO{gPVkip(kGXG!F8V#i9}t_kNVVh+z^UZ;1T; z21%6jLjarTF_zuC$KO&hcaQZ{(ivaBew|Gra>I!=e?IelQ+CwyZD*yVYR(_Z30+39 za@$I_&QDKkgT*}*!X#*qN>cs#pam6fN>onHJJr0^O!lasWN&$h`x8#hXbE4o3>~gN zpK{GgoZose4jg5`X9e=(`YPuyu znaHwdkJzE?;TxGYJ;AQ7BzsSarSo$W=g+-5olG7#a&)xp-|**+HtAbzuFHH%_V|>1 zA3U;jFs57D1xuGsN?aDSG+HEAnpIe+e_kfIqNSfNQku3YC?wmp0He0u4$xZu1)_^JxljJ%0StXWI;0c~w<$`vajPu`}EmJ7Sb zrWpOW6Cv>XWp(r+;7)`3NcUU`Cfh;>EY@0jvKU!prIP{8p~Vj~|B~(fts*TH%cx&g(|Q7=Gu@syLO` zECr(C-kcigucSrh6*$yWtC}*bHTe$y`SQ-moeC%1_DMc_)luY`^{FdF||i~apq~fW|scz zT-+UpcCN;YW40f?>xINSK0K(LZ~fTVs2&s)#QA)`^^Kc1$Gby3GZEPWO<4N23v<&p z39DDHmL2(4sL8XDPx7mMt8>>I zgN3n5X<`kCH|ufr6s#9f$g&%#$XR4woN~W5)lM}&)T-^io;g+JrJ&;*wG^YUtJ6OP zO!cKVZ{FpS`D-;q#~)?zsPOVdt529+?dL zp}=rSzf0+SHr-#>QutC)Z{>_tP1282h?1i-E-x?VoR|DFf3DB(%20ZT@*3AfYG&EZ zjMr*wE;OBg%BflvqYxF01fdtL{D?(-Y@~?!)2B~A&HFN}yVwK->IVgu{W-!;g_6$F zmm!>fQ;JhltqKVVNosDn`saJ3vXhbC=L_Gz zzfuu;&Zsi{0iRjZmGR8sVT;@D?gk}mpK@we1PVE^_ugK!wMJfA=(2sQ%fjeOxAE#2 z<;LdCOGi2BtI=Jn?NaR{EgY4QJA({;PAS1@y7TGybk|FR`ej4M?fSjyO;RJ%u9Uxv zPg7t*q&@ukcT5=ka4dpXydCXfhZ2M|#%f(1mF+Qx) zy}0B-rh@4E3oZ_JVv*jTZo9elrqpU#mjoPevF)uoP%x?>@syJTY1d-Wd+&LMnzH8t z9Tr1*jer@pyA9|Pmdd$ zZtAlcye+a!|J`jfQjg)ffVukE{b?V6O6 zTZ+~#wxu_nHbm!h3^r#OsM!AqAV%RxEGsMP@d5fjA8>8DDMM+d!=W%TIceX(9Xp=s zvY1;LxU^h~g;puH(bcrjjf{`m;%(E#!hrwz*pmBvbec{0aKxIHvm+A|b`9K1=gz?T zYcSr&2?@xEK9fTd!mzb_7Thf za~!uERQjBFZTjcsh%xC47pi>^DzB|YqUwMAZ#cJNIK}JVT&C$mHn5UdeD-WxLEL+4 zI`;h{A|erjOJKn(ix}G2+iW#0oF(kW?UJ1zeP2{C|G5#bS>j!+-MIXGQIDCh^G_f9 z`}bNbj&_wX)-XHuA8~hDI*=7BPIw!5Fj^_jNH)*9>md?+kHw<%>;!!c0`Z%L`JaP| z4vOJ6qY&FV&b9HH>n2lcLS#cuubW(2E8nFsQUQnyh8h&C0h!kB?khx53f9WK>gda< z*$~w7=TNRq9+-FeEIU)${WAH%fE#wGl#PSAF-mdXMCNjLcmHp~qfLL{>FL>!YHBPi zjcftv*5B**{CO-gvs%@KeLk7CefrAMOS8BKccdyNc1y?k!+mjCj=g|>yKm+zo%FKx2QKgkfEfHR!s^ws)_CS+2t>}uR1|n zd%Umq=~$N^8*&h?X4x5Anvcb1J!k3ZC zu+9YizUasFX=%-wF_Dr@8BH1=yilm1WcO&CRf_1caO*G|!$r zb58*SJPMQ|u%^-F_hNELZ_cu3tmy-<{C2Lb2beaPhLJBF*uD7m60Z|{j*5*m#TmFF z(4;c_0t2`H{j4IA>vqJzuM5sE7-&fO6#S#JGwhgcZ@LbHL+~m0bx~N2nZU_eXO{iv zqc;l+3wyqo_|T05d_`j6nmt<;_ygI9h{mEap zE9&*@YY}G6#K)-re(e6KUY#%5j-z8$^3n(R_-dL%NTTs5lfN#n?Ja*OlZ$;{4afLE zqcXTr_Fzj+-=HOFr}Bv9f-R;?%u|4{NXt6eDGJ(Q>FM@ETQl z<>lr1h@6-)Yf2BoRQAk__hq71FQ=eT%(OAQef#!-!-o%7&LfYH%?{=DVLtD9c=+H; z1P}Vz`6&iPPjz^;Yt!vNOJwJoraTwz#o5-yvBIs|S4Mw)L4r(9-^b6df^}XE9Y!(3 z>avGz$fyG9>D&SQT|Qj0+~ZL0v$)iGLZiW)1%&fm`MMJ~fAE4Sj^HosoOx|w+JLC# ziOM|{VbyW!M{^ct`q_nYn7wUnGE&}4JCjyD-*PT?K7M-0x+Qu6U{dn3(!S( zNGleq)B7JzxeGJK<2{wE7vfCn-`u-*k32P+)_N^w6VrjzOrR{O3-6yw{A7C723H|6vBcOCZXt|+*v7MVc}zrKSRY|v77@}D)GI3Zx3 zacV?jfX{o|4Yim$T);>S40`tW-DM5@3S1P5Z-1{7?R?wF=0~HjVD#g&-^|=-+1`1_ z)Z)=H5p(5NKl8C1wrt#}v&};P1K3(s*!itl%YCWLT65zdFNs_&=p1e@02)yZr|`|2 zfttW;*2JGRL}j&mDRWtT?Wv5YeslReNO*lOFBAy{;AI7Zk;{Dytw$SQ4QULftW7+oaKMTxr?Al!V zrcIk-C&;5;j?!-27)0PQ4?2!FDw98d${{@|5*k&Oy)-7J8ZuVw#BryI*cPWDp$mb6 z^||X=4d36{I0IFIruO60LkU)$AJ2J%MMgu)QW>zGpRt|q(_XB&wR-ayWFE%A7n`9ppGdU)lpFA4=Pc$n3VFb7-a&q^eNSs%Ue+0lyI8(u-?Hma4z5fMw;Q!&JNgeqd3$>& zU!Askz`!d3xh=8V*URe_gklvF+O3;51w%=UwC*ZplM6lTpMr_)Znkf&Mqtr&&Hns! 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z1e8P~iVESiD_!4QIV1LL~Uz-8YuZMvjM3w2kjV^v*1;94_3l{Mn_Bn5^LDGa+gIT(G<3bSC@}%oNeT|6o%6 zvbM4cMi;o-fv;_u{@e|Om5AidOeL6K$8!ZtYA7JM*O{w$s$ctS2JwtP$~p%l;wdgS ztcS~3s^hG({D(cW(G+ASukR}@2_+X^<@`=4Mk1BMT9Y-aeTdfhtJO77ZnxPH4e0RF zfzf*mdIdEY=Oe&1M{Wy~f2iq5!#s-qTr?k^k!@s%A%q Date: Wed, 29 Oct 2025 11:14:00 -0500 Subject: [PATCH 2/2] updates to diff vs disl transient creep paragraph --- content/blog/diede-backstress-2025/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/blog/diede-backstress-2025/index.md b/content/blog/diede-backstress-2025/index.md index 0cee2bc..24b2fd3 100644 --- a/content/blog/diede-backstress-2025/index.md +++ b/content/blog/diede-backstress-2025/index.md @@ -11,7 +11,7 @@ A key goal of the iSTRUM project is to better understand the microphysics of tra As we cannot perfectly replicate the conditions of the upper mantle in our experiments, we instead aim to tease out the microphysics of deformation from our experiments so that we may confidently extrapolate these physics to geologically relevant timescales and grain sizes. With this philosophy in mind, there (thankfully) are a few experimental "tricks" that we may apply to get around these time and grain-size limitations. First, we can reduce the time required to reach a geologically relevant amount of deformation by subjecting our samples to high temperatures during experiments, thereby increasing the kinetics of deformation. Second, we can apply high stresses in our experiments to overpower those mechanisms that are primarily sensitive to grain size and study those mechanisms that are primarily sensitive to stress and likely dominate at large grain sizes. Then, by comparing our experimental observations to the predictions of microphysical models we can begin to eliminate those models that fail to capture observations and refine those that match our data well. -Over the past few years, two mutually exclusive models aiming to explain transient creep in olivine, the most abundant mineral in Earth’s upper mantle, have popularized in the scientific discourse. Both models involve the motion of dislocations (i.e., linear crystalline defects that facilitate deformation by moving and multiplying in response to stress) and predict distinctly different mechanical behavior of the upper mantle. One model, known as ‘the plastic-anisotropy model’, postulates that the plastic anisotropy of olivine (i.e., its directional dependence of the ease of dislocation motion) results in transient creep in mantle rocks. In this model, a stress change in the mantle first induces deformation of grains in easy orientations for dislocation motion leading to a low initial viscosity. With time, the deformation of grains in hard orientations starts to control the long-term behavior of the rock as soft grains alone cannot accommodate all deformation indefinitely. The other model, known as ‘the backstress model’, argues that it is actually the long-range interactions among dislocations and the evolution of the density of dislocations that controls the transient behavior of mantle rocks. The experiments we performed at beamline 6-BM-B of the Advanced Photon Source (APS) at Argonne National Laboratory (described in [this recent paper](https://doi.org/10.1029/2025JB031674)) leveraged both of the aforementioned ‘tricks’, and enabled us to rule out one of the proposed models for transient creep in the upper mantle. +Traditionally, transient creep in the upper mantle has been attributed to diffusion-based models. However, over the past few years, two alternative models have popularized in the scientific discourse that instead aim to explain transient creep in the upper mantle using the motion of dislocations (i.e., linear crystalline defects that facilitate deformation by moving and multiplying in response to stress). As these models predict distinct mechanical behavior, it is important to test if they actually match the behavior of olivine, the most abundant mineral in Earth’s upper mantle. One model, known as ‘the plastic-anisotropy model’, postulates that the plastic anisotropy of olivine (i.e., its directional dependence of the ease of dislocation motion) results in transient creep in mantle rocks. In this model, a stress change in the mantle first induces deformation of grains in easy orientations for dislocation motion leading to a low initial viscosity. With time, the deformation of grains in hard orientations starts to control the long-term behavior of the rock as soft grains alone cannot accommodate all deformation indefinitely. The other model, known as ‘the backstress model’, argues that it is actually the long-range interactions among dislocations and the evolution of the density of dislocations that controls the transient behavior of mantle rocks. The experiments we performed at beamline 6-BM-B of the Advanced Photon Source (APS) at Argonne National Laboratory (described in this recent paper) leveraged both of the aforementioned ‘tricks’, and enabled us to rule out one of the proposed models for transient creep in the upper mantle. We performed high-temperature (900–1200°C), high-pressure (\~5 GPa), and high-stress forced-oscillation experiments on polycrystalline olivine in a multi-anvil apparatus called a deformation-DIA. In these experiments we applied a sinusoidal force to our samples. We then used the bright X-rays produced by the APS to measure the deformation (also referred to as ‘strain’) of our samples from digital image correlation of radiographs. We measured the stress that the rock experienced by diffracting X-rays through the crystal lattice of the sample and converting the elastic lattice strains to stresses using Hooke’s law. The time delay between the imposed sinusoidal stress and the measured sinusoidal strain is directly related to a quantity known as the inverse quality factor, *Q*\-1, that is commonly used by seismologists to quantify the attenuation of seismic waves traveling through the mantle after earthquakes. By changing the stress amplitude of the imposed oscillations we were able to observe that *Q*\-1 increased with amplitude (Figure 1), which is diagnostic of attenuation produced by dislocations.