LMLawrence C. Murdoch

Lawrence C. Murdoch

*This is an algorithmically generated author record based on publicly available information.

Current Organizations / Institutes

The organizations/institutes from the scholar's latest article

Previous Organizations / Institutes

The organizations / institutes from the scholar's other articles in the past ten years


Lawrence C. Murdoch has a total of 58 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    A Robust Borehole Optical Fiber Areal Strainmeter: Design, Calibration, and a Four-Year Comparison with a Gladwin Tensor Strainmeter

    by Scott DeWolf, Lawrence C. Murdoch

    Borehole strainmeters can measure deformation too small for GNSS and too slow for seismometers, but their precision transducers are complex, and this has limited them to specialized applications as either isolated instruments or sparse arrays. We developed a passive borehole areal strainmeter built with simple machining, no moving parts, and no downhole electronics to address these limitations. The sensing element is 265 m of optical fiber wound on a compliant aluminum mandrel, read as one arm of a Michelson interferometer. The Areal Optical Fiber Strainmeter (AOFS) was grouted in limestone at 28 m depth in the North Avant Field, Oklahoma, 15 m from a Gladwin Tensor Strainmeter (GTSM), and the two instruments were recorded side by side for 1579 days. Both records were calibrated against the theoretical areal strain tide with a generalized least-squares estimator that fits areal and shear couplings and a barometric admittance. The AOFS calibration is 0.2958±0.0007 nε per radian of optical phase, stationary to 0.6% over four years, with a shear leakage of 5% of the areal sensitivity. The tidally calibrated instruments agree to 1% at M2 and 2% at O1; their amplitude spectra coincide at the tidal lines and across the microseism band, where their cross spectrum has unit gain and zero phase; and with the barometric pressure removed, the GTSM spectrum lies 1.3 to 3 times above the AOFS between 1 × 10−6 and 1 × 10−2 Hz. Above 1 Hz, the AOFS noise floor is 3 to 10 times lower than the GTSM digitizer floor, and the AOFS records a local M2.4 earthquake with 14 times lower background noise than the GTSM. The AOFS is 2.5 to 2.8 times less sensitive to barometric pressure, and its record of a 23-day water injection into a reservoir 500 m below is essentially identical to that of the GTSM. The new instrument matches the GTSM at the tides, in the microseism band, and in the injection test and has a lower noise floor above 1 Hz; it is simple to build and robust to operate, which enables a new generation of applications for borehole strainmeters.

  • Open Access

    Imaging Proppant in a Shallow Hydraulic Fracture Using Ground‐Penetrating Radar

    by M. Dogan, S. M. Moysey, L. C. Murdoch

    Hydraulic fracturing has been used to enhance the oil and gas recovery and facilitate remediation of groundwater contaminants, particularly in low‐permeability materials such as shales. Fracture geometry can impact the success of these applications, but techniques for imaging how hydraulic fractures grow under different conditions remains limited. In this paper, we evaluate the feasibility of using ground‐penetrating radar (GPR) to image a hydraulic fracture created at 1.5 m depth using a granular steel proppant. GPR data were collected along multiple transects at the ground surface prior to, during, and after the experiment. The calculated R 2 value for the correlation between fracture surfaces interpolated from GPR and down‐hole measurements is 0.85. This study demonstrates that GPR can be an effective tool for understanding fracture propagation in shallow environments, which may be of high value for both optimizing environmental remediation schemes and developing reservoir analogs.

  • Robust In-Situ Strain Measurements to Monitor CO2 Storage

    by Lawrence C. Murdoch, Grand Resources Inc., Scott DeWolf, Liwei Hua, Leonid N. Germanovich, Hai Xiao, Xuran Zhu, Yongji Wu, Jing Guo, Robert Moak, et al.

    The goal of this project was to develop and demonstrate robust instrumentation to monitor the in-situ strain tensor in order to improve the reliability and security of CO2 storage in geologic formations. We met the original goals of the project and the major overarching accomplishment is the advancement of strain tensor monitoring from an intriguing concept to a commercially available technology with a solid foundation of novel instruments supported by theoretical analyses and validation experiments. The main accomplishments of the project are summarized below. We designed, built and evaluated nine new optical fiber strainmeters and tiltmeters using Michelson interferometers to measure deformation with ultra-high resolution at both shallow and deep point locations in the subsurface. These are the robust strainmeters that motivated the title of the project. We designed, built and evaluated a novel method of measuring distributed strain in optical fibers with nanostrain resolution, and cm-scale location, and sampling into the seismic band. The new method is called Coherence-length-gated Microwave Photonics Interfereometry (CMPI). CMPI technology has advantages over existing commercial DAS and DSS methods. We developed and demonstrated capabilities to deploy instruments in the field and used them to measure strain caused by ambient signals like barometric pressure andmore » tides, as well as induced signals like surface loading and pore pressure changes from pumping tests. We deployed a working strainmeter at 1,700 ft depth, slightly above an active reservoir. This is to our knowledge the greatest depth a strainmeter has been deployed and the techniques we used can readily be extended to greater depths. Optical fiber borehole tensor strainmeter techology was advanced from a TRL 4 at the start, to a TRL of 7 at the conclusion of the project. The project included advances in simulations and theoretical analyses. We developed and demonstrated a computational workflow that uses machine learning to reduce the computational requirements and make it practical to use Bayesian inversion to solve large numerical poroelastic analyses needed to interpret strain tensor field data. We evaluated the strain tensor fields and time series that would be caused by leaks of CO2 or other fluids from reservoirs. These simulations demonstrated that signals from leaks could be measured with instruments developed for the project, opening a potentially new method for ensuring storage security. We showed that strains in caprock can be used to estimate pressure in a reservoir. This avoids the need to drill monitoring wells into the reservoir, and it expands the capabilities of monitoring in the caprock. The project includes a derivation and application of a novel analytical solution to the strains in the vicinity of a pressurized poroelastic inclusion. This solution explains field data measured during injeciton tests at the North Avant Field, and it will simplify future interpretation of strain tensor data. The project included a broad range of experiments, and of the most significant is the characterization of the strain tensor at an array three strainmeters during six injection tests at the North Avant Field, Oklahoma. This demonstrated repeatability of the strain signal measured by the new instruments developed for the project, and it showed similarities between the strain signal at shallow depths and pressure in the underlying reservoir. We also demonstrated that useful strain data can be measured at reservoir depths. This confirms that strain tensor data can be measured throughout the caprock over a reservoir. The project demonstrated the feasibility of using the strain tensor and distributed strain measured in caprock during a variety of different well tests where the pumping rate was constant, sinusoidal and positive, or a periodic square wave with zero net rate. This further strengthens the validity of using strain data to characterize reservoirs and aquifers. We also demonstrated that strain caused be fluctuations of air pressure and water pressure in the vadose zone can be measured and interpreted, suggesting that high resolution distributed strain measurements hold promise for monitoring the vadose zone. The project partially supported nine graduate students in the Environmental Engineering, Hydrogeology, Electrical Engineering programs at Clemson University. The research was described in nine journal papers, 23 talks and conference abstracts. Additional journal papers are in preparation. A new company called Tensora was started to provide strainmeter techology for commercial applications. Strainmeter data associated with the project ares available at: DeWolf, S. and Murdoch, L. C. (2016). Clemson University Subsurface Deformation Monitoring Network, International Federation of Digital Seismograph Networks, Dataset/Seismic Network, http://www.fdsn.org/networks/detail/2J_2016/, DOI: 10.7914/SN/2J\_2016. « less

  • Open Access

    Shallow Geologic Storage of Carbon to Remove Atmospheric CO2 and Reduce Flood Risk

    by Lawrence C. Murdoch, Leonid N. Germanovich, William W. Slack, Michael Carbajales-Dale, Douglas Knight, Robert Moak, Clemence Laffaille, Scott DeWolf, Soheil Roudini

    Geologic carbon storage currently implies that CO2 is injected into reservoirs more than 1 km deep, but this concept of geologic storage can be expanded to include the injection of solid, carbon-bearing particles into geologic formations that are one to two orders of magnitude shallower than conventional storage reservoirs. Wood is half carbon, available in large quantities at a modest cost, and can be milled into particles and injected as a slurry. We demonstrate the feasibility of shallow geologic storage of carbon by a field experiment, and the injection process also raises the ground surface. The resulting CO2 storage and ground uplift rates upscale to a technique that could contribute to the mitigation of climate change by storing carbon as well as helping to adapt to flooding risks by elevating the ground surface above flood levels. A life-cycle assessment indicates that CO2 emissions caused by shallow geologic storage of carbon are a small fraction of the injected carbon.


  • Open Access

    Using the Shallow Strain Tensor to Characterize Deep Geologic Reservoirs

    by Lawrence C. Murdoch, Scott DeWolf, Leonid N. Germanovich, Stephen Moysey, Alex Hanna, Soheil Roudini, Robert Moak

    Storing and recovering water, carbon, and heat from geologic reservoirs is central to managing resources in a changing climate. We tested the hypothesis that the strain tensor caused by injecting or producing fluids can be measured at shallow depths and interpreted to advance understanding of underlying deep aquifers or reservoirs. Geodetic‐grade strainmeters were deployed at 30 m depth overlying the Bartlesville Formation, a 500‐m‐deep sandstone near Tulsa, OK. The strainmeters are 220 m east of injection well 9A completed in a permeable lens at the base of the Bartlesville Formation. Water was injected into well 9A at approximately 1.0 L/s during four tests that ranged in duration from a few hours to a few weeks. The horizontal strain increased (tension) and the circumferential strain was a few times larger than the radial strain. The vertical strain decreased (compression) during injection. Strain rates were approximately 100 nε/day during the first few hours, but the rates decreased and were approximately 10 nε/day during most of the tests. Four independent methods of poroelastic simulation and inversion predict reservoir properties and geometries that are similar to each other and consistent with independent information about the reservoir. All strain interpretations predict that a boundary to the permeable lens occurs beneath the vicinity of the strainmeters, which is consistent with core data from the site. The boundary of the permeable lens is located by matching the vertical, radial and circumferential strains, which demonstrates the value of measuring the strain tensor.


  • Open Access

    A TYPE-CURVE APPROACH FOR ANALYZING SHALLOW STRAIN DURING WELL TESTS

    by Lawrence C. Murdoch, Leonid N. Germanovich, Soheil Roudini, Scott DeWolf, Liwei Hua, Robert Moak

    Strains occur at shallow depths in response to pressure changes during well tests in an underlying aquifer, and recent developments in instrumentation have made it feasible to measure essentially the full strain tensor. Simulations using poroelastic analyses indicate that shallow normal strains are approximately proportional to the logarithm of time when a well is injecting into or pumping from a uniform aquifer or reservoir. The drawdown is also a function of log time, as shown by the classic Cooper-Jacob type-curve analysis. The time when the semi-log straight line intercepts the zero-strain axis is similar to the time determined from the Cooper-Jacob pressure analysis, and it can be used to estimate hydraulic diffusivity, suggesting that horizontal strain data can be used directly to estimate aquifer properties. This approach is applied to data measured with shallow (30 m) borehole strainmeters during an injection test at a 530-m-deep sandstone aquifer/reservoir in Oklahoma. The results show intercept times for the shallow normal strain data are essentially the same as for deep pressure data from an equivalent radial distance. The slopes of the semi-log plots of the pressure and the strain increase at the same time, suggesting that they both respond to a lateral aquifer boundary. These results confirm the type-curve approach for interpreting strain data. Significantly, though, strain was measured at shallow depths while the pressure data was measured at 530 m depth. This suggests that strain data from shallow depths could be an effective way to improve the characterization of an underlying aquifer.

  • Open Access

    USING THE SHALLOW STRAIN TENSOR TO CHARACTERIZE DEEP GEOLOGIC RESERVOIRS

    by Lawrence C. Murdoch, Scott DeWolf, Leonid N. Germanovich, Stephen M.J. Moysey, Alexander C Hanna, Soheil Roudini, Robert Moak

    Storing and recovering water, carbon and heat from geologic reservoirs is central to managing resources in a changing climate. We tested the hypothesis that the strain tensor caused by injecting or producing fluids can be measured at shallow depths and interpreted to advance understanding of underlying aquifers or reservoirs. Geodetic-grade strainmeters were deployed at 30m depth overlying the Bartlesville Formation, a 500-m-deep sandstone near Tulsa, OK. The strainmeters are 220m east of injection well 9A completed in a permeable lens at the base of the Bartlesville Formation. Water was injected into well 9A at approximately 1.0 L/s during four tests that ranged in duration from a few hours to a few weeks. The horizontal strain increased (tension) and the circumferential strain was a few times larger than the radial strain. The vertical strain decreased (compression) during injection. Strain rates were approximately 100 n/day during the first few hours, but the rates decreased and were approximately 10 n/day during most of the tests. Four independent methods of poroelastic simulation and inversion predict reservoir properties and geometries that are similar to each other and consistent with independent information about the reservoir. All strain interpretations predict that a boundary to the permeable lens occurs beneath the vicinity of the AVN strainmeters, which is consistent with core data from the site. The boundary of the permeable lens is located by matching the radial and circumferential strains, which demonstrates the value of measuring the strain tensor.

  • Open Access

    Distributed Acoustic Sensing Based on Coherent Microwave Photonics Interferometry

    by Liwei Hua, Xuran Zhu, Baokai Cheng, Yang Song, Qi Zhang, Yongji Wu, Lawrence C. Murdoch, Erin R. Dauson, Carly M. Donahue, Hai Xiao

    A microwave photonics method has been developed for measuring distributed acoustic signals. This method uses microwave-modulated low coherence light as a probe to interrogate distributed in-fiber interferometers, which are used to measure acoustic-induced strain. By sweeping the microwave frequency at a constant rate, the acoustic signals are encoded into the complex microwave spectrum. The microwave spectrum is transformed into the joint time–frequency domain and further processed to obtain the distributed acoustic signals. The method is first evaluated using an intrinsic Fabry Perot interferometer (IFPI). Acoustic signals of frequency up to 15.6 kHz were detected. The method was further demonstrated using an array of in-fiber weak reflectors and an external Michelson interferometer. Two piezoceramic cylinders (PCCs) driven at frequencies of 1700 Hz and 3430 Hz were used as acoustic sources. The experiment results show that the sensing system can locate multiple acoustic sources. The system resolves 20 nε when the spatial resolution is 5 cm. The recovered acoustic signals match the excitation signals in frequency, amplitude, and phase, indicating an excellent potential for distributed acoustic sensing (DAS).


  • Open Access

    A Type‐Curve Approach for Evaluating Aquifer Properties by Interpreting Shallow Strain Measured During Well Tests

    by Lawrence C. Murdoch, Leonid N. Germanovich, Soheil Roudini, Scott J. DeWolf, Liwei Hua, Robert W. Moak

    Strains occur at shallow depths in response to pressure changes during well tests in an underlying aquifer, and recent developments in instrumentation have made it feasible to measure essentially the full strain tensor. Simulations using poroelastic analyses indicate that shallow normal strains are approximately proportional to the logarithm of time when a well is injecting into or pumping from a deep aquifer or reservoir. The drawdown is also a linear function of log time, as shown by the classic Cooper‐Jacob type‐curve analysis. The time when the semilog straight line intercepts the zero‐strain axis is similar to the time determined from the Cooper‐Jacob pressure analysis, and it can be used to estimate hydraulic diffusivity, suggesting that horizontal strain data can be used directly to estimate aquifer properties. This approach was validated using measurements from shallow (30‐m deep) borehole strainmeters during an injection test at a 530‐m‐deep sandstone aquifer/reservoir in Oklahoma. The results show intercept times for the shallow normal strain data are essentially the same as for deep pressure data from an equivalent radial distance. The slopes of the semilog plots of the pressure and the strain increase at the same time, suggesting that they both respond to a lateral aquifer boundary. Significantly, though, strain was measured at shallow depths while the pressure data were measured at 530‐m depth. This suggests that strain data from shallow depths could be an effective way to improve the characterization of an underlying aquifer.


  • Open Access

    Distributed Acoustic Sensing Based on Coherent Microwave Photonics Interferometry

    by Liwei Hua, Xuran Zhu, Baokai Cheng, Yang Song, Qi Zhang, Yongji Wu, Lawrence C. Murdoch, Erin R. Dauson, Carly Donahue, Hai Xiao

    A microwave-photonics method has been developed for measuring distributed acoustic signals. This method uses microwave-modulated low coherence light as a probe to interrogate distributed in-fiber interferometers, which are used to measure acoustic-induced strain. By sweeping the microwave frequency at a constant rate, the acoustic signals are encoded into the complex microwave spectrum. The microwave spectrum is transformed into the joint time-frequency domain and further processed to obtain the distributed acoustic signals. The method is first evaluated using an intrinsic Fabry Perot interferometer (IFPI). Acoustic signals of frequency up to 15.6 kHz were detected. The method was further demonstrated using an array of in-fiber weak reflectors and an external Michelson interferometer. Two piezo-ceramic cylinders (PCCs) driven at frequencies of 1700 Hz and 3430 Hz were used as acoustic sources. The experiment results show that the sensing system can locate multiple acoustic sources. The system resolves 20 nε when the spatial resolution is 5 cm. The recovered acoustic signals match the excitation signals in frequency, amplitude, and phase, indicating an excellent potential for distributed acoustic sensing (DAS).